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8/2z=15/60 .solve proportion.

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(8)/(2z)=(15)/(60)\\ (4)/(z)=(1)/(4)\\ z=16
User Boris Zbarsky
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(8)/(2z)=(15)/(60)\ \ \ \ \ |cross\ multiply\\\\2z\cdot15=8\cdot60\\\\30z=480\ \ \ \ |divide\ both\ sides\ by\ 30\\\\\boxed{z=16}
User Kirin Yao
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