To solve the proportion \( \frac{15}{2} = \frac{y}{75} \), you can use cross-multiplication. Here's how it's done:
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Cross-multiply: \[ 15 \cdot 75 = 2 \cdot y \]
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Calculate \( 15 \cdot 75 \): \[ 15 \cdot 75 = 1125 \]
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Now your equation is: \[ 1125 = 2y \]
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To isolate \( y \), divide both sides by 2: \[ y = \frac{1125}{2} = 562.5 \]
So, the solution is: \[ y = 562.5 \]