Finding the Third Proportional to 31,952 and 45,754
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Solution
The third proportional to 31,952 and 45,754 is: 65,517.92
Step by Step Solution
- Step 1: Write the proportion equation
31,952 : 45,754 = 45,754 : x - Step 2: Convert to fraction form
31,952/45,754 = 45,754/x - Step 3: Cross multiply
31,952x = 45,754 × 45,754 - Step 4: Simplify right side
31,952x = 2,093,428,516 - Step 5: Solve for x
x = 2,093,428,516/31,952 - Step 6: Final answer
x = 65,517.92
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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.