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Find the missing term in the proportion: \( \frac{n}{2}=\frac{3}{4} \) \( n=\square \)

Ask by Reyes Dunn. in the United States
Feb 20,2025

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Tutor-Verified Answer

Answer

\( n = \frac{3}{2} \)

Solution

Solve the equation by following steps: - step0: Solve for \(n\): \(\frac{n}{2}=\frac{3}{4}\) - step1: Multiply both sides of the equation by \(2:\) \(\frac{n}{2}\times 2=\frac{3}{4}\times 2\) - step2: Multiply the terms: \(n=\frac{3\times 2}{4}\) - step3: Divide the terms: \(n=\frac{3}{2}\) To find the missing term \( n \) in the proportion \( \frac{n}{2} = \frac{3}{4} \), we can solve the equation step by step. 1. Start with the equation: \[ \frac{n}{2} = \frac{3}{4} \] 2. To eliminate the fraction on the left side, multiply both sides by 2: \[ n = 2 \cdot \frac{3}{4} \] 3. Simplifying the right side: \[ n = \frac{2 \cdot 3}{4} = \frac{6}{4} = \frac{3}{2} \] Thus, the missing term is: \[ n = \frac{3}{2} \quad \text{or} \quad n = 1.5 \] You can use either form, but the simplest fraction is \( n = \frac{3}{2} \).

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The Deep Dive

To find the missing term \( n \) in the proportion \( \frac{n}{2}=\frac{3}{4} \), we can cross-multiply. That means: \[ n \cdot 4 = 3 \cdot 2 \] So, we get: \[ 4n = 6 \] Now, divide both sides by 4: \[ n = \frac{6}{4} = \frac{3}{2} \] Thus, the missing term \( n \) is \( \frac{3}{2} \) or 1.5.

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