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Let $J$ and $K$ be given points along a certain line. There are exactly two other distinct points $U$ and $V$ on this line such that $UJ/UK=7$ and $VJ/VK=7$. Let $W$ be the midpoint of $\overline{UV}$. Calculate the ratio $WJ/WK$.

 Nov 17, 2022
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WJ/WK = 35.

 Nov 17, 2022

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