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 Dec 16 awarded Supporter Dec 16 accepted Strengthening My Foundation in Mathematics Dec 15 awarded Student Dec 15 asked Strengthening My Foundation in Mathematics Sep 3 awarded Scholar Sep 3 accepted Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables Sep 2 comment Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables Awesome. Thanks so much for clearing this up for me! :-) You should answer my question so I can +1 you and mark it as the answer haha Sep 2 comment Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables @Rahul Narain - So in other words the constants of proportionality for each statement hold the "opposite" variable as a factor, correct? (ie. $A = m(C)B$ and $A = n(B)C$) Aug 3 awarded Editor Aug 3 revised Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables added 679 characters in body Jul 31 comment Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables Thanks for the response! I've been reading up on the Combined Gas Law after seeing this post and have come across multiple times that the constants in each of the laws are actually functions dependent on the other variable. In other words, $T \propto P \space\rightarrow\space T = c_1(V)P$ and $T \propto V \space\rightarrow\space T = c_2(P)V$ Will this always be the case though? Will the constants always depend on each other like they do here? Jul 27 comment Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables I'm also wondering if there is a geometric intuition behind this, can it be proven using lines and areas? Jul 27 comment Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables No worries! Thanks for the quick response. Here are the numbers I used $A = 12$, $B = 3$, and $C = 6$. (Thus $k = 4$ and $m = 2$). How would you determine that $\ell = c(4)(2)$? Will $\ell$ always be proportional to $k$ and $m$? Jul 25 comment Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables Why do you multiply the two terms for $A$ together? And wouldn't $kmBC = A^2$? Jul 25 awarded Analytical Jul 25 asked Proportional to 2 Separate Variables vs. Proportional to Product of 2 Variables Jun 20 asked Euclidean Geometry in Classical Thought - Used for Realization or Representation? Jun 15 awarded Autobiographer