## anonymous one year ago What is the difference between 'x' being proportional to 'y' and 'y' being proportional to 'x'??

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1. anonymous

(X-y)(x+y)/xy

2. UnkleRhaukus

The proportionality constants will be inverses: $x\propto y\implies x=\alpha y\\[2ex] y\propto x\implies y=\beta x\\[2ex] \therefore\quad \alpha =\frac 1\beta$