Question

solve for b in the proportion.
\\(\frac{21}{b} = \frac{75}{50}\\)
(b = square)
submit

Explanation:

Step1: Cross - multiply the proportion

To solve for \( b \) in the proportion \(\frac{21}{b}=\frac{75}{50}\), we use cross - multiplication. Cross - multiplying gives us \( 75\times b=21\times50 \).

Step2: Simplify the right - hand side

Calculate \( 21\times50 \). We know that \( 21\times50 = 1050 \), so the equation becomes \( 75b = 1050 \).

Step3: Solve for \( b \)

Divide both sides of the equation \( 75b = 1050 \) by 75. So \( b=\frac{1050}{75} \). Simplifying \(\frac{1050}{75}\), we can divide numerator and denominator by 15 first: \( 1050\div15 = 70 \) and \( 75\div15 = 5 \), then \(\frac{70}{5}=14\).

Answer:

\( 14 \)