Finding the Third Proportional to 31,704 and 45,288
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Solution
The third proportional to 31,704 and 45,288 is: 64,692.25
Step by Step Solution
- Step 1: Write the proportion equation
31,704 : 45,288 = 45,288 : x - Step 2: Convert to fraction form
31,704/45,288 = 45,288/x - Step 3: Cross multiply
31,704x = 45,288 × 45,288 - Step 4: Simplify right side
31,704x = 2,051,002,944 - Step 5: Solve for x
x = 2,051,002,944/31,704 - Step 6: Final answer
x = 64,692.25
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.