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Find the missing term in the proportion: \( \frac{5}{7}=\frac{n}{3} \) \( n=\square \)

Ask by Cummings Harrington. in the United States
Feb 20,2025

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\( n = \frac{15}{7} \)

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To find the missing term \( n \) in the proportion \( \frac{5}{7} = \frac{n}{3} \), we can use cross-multiplication. Here are the steps: 1. Set up the equation using cross-multiplication: \[ 5 \cdot 3 = 7 \cdot n \] 2. Calculate the left side: \[ 15 = 7n \] 3. To isolate \( n \), divide both sides by 7: \[ n = \frac{15}{7} \] Thus, the missing term \( n \) is \( \frac{15}{7} \).

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To solve for \( n \) in the proportion \( \frac{5}{7}=\frac{n}{3} \), you can use cross-multiplication. Multiply 5 by 3 and 7 by \( n \): \[ 5 \cdot 3 = 7 \cdot n \] This simplifies to: \[ 15 = 7n \] Next, divide both sides by 7 to isolate \( n \): \[ n = \frac{15}{7} \] So, the missing term is \( n = \frac{15}{7} \). Now, let's keep it interesting: 🎉 Did you know proportions are everywhere? From cooking (think recipe adjustments) to budgeting—proportions help us scale things up or down. If a recipe serves 4 but you have a dinner party of 12, you'll want to use proportions to keep everyone well-fed! And speaking of proportions, a common pitfall is forgetting to keep units consistent! If you're comparing quantities, make sure they are in the same units. If you're not careful, you might find yourself accidentally adding apples and oranges—figuratively speaking, of course! 🍏🍊

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