Solve the proportion 2/3 = x/42.

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Multiple Choice

Solve the proportion 2/3 = x/42.

Explanation:
Solving a proportion uses cross-multiplication: when two fractions are equal, their cross products are the same. For 2/3 = x/42, multiply the outer and inner terms: 2 × 42 = 3 × x. That gives 84 = 3x, so x = 84 ÷ 3 = 28. Checking: 28/42 simplifies to 2/3, confirming the match. The other values wouldn’t balance the proportion because they’d produce fractions like 14/42 = 1/3, 21/42 = 1/2, or 42/42 = 1, none of which equal 2/3.

Solving a proportion uses cross-multiplication: when two fractions are equal, their cross products are the same. For 2/3 = x/42, multiply the outer and inner terms: 2 × 42 = 3 × x. That gives 84 = 3x, so x = 84 ÷ 3 = 28. Checking: 28/42 simplifies to 2/3, confirming the match. The other values wouldn’t balance the proportion because they’d produce fractions like 14/42 = 1/3, 21/42 = 1/2, or 42/42 = 1, none of which equal 2/3.

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