Finding the Third Proportional to 31,272 and 67,476
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Solution
The third proportional to 31,272 and 67,476 is: 145,593.84
Step by Step Solution
- Step 1: Write the proportion equation
31,272 : 67,476 = 67,476 : x - Step 2: Convert to fraction form
31,272/67,476 = 67,476/x - Step 3: Cross multiply
31,272x = 67,476 × 67,476 - Step 4: Simplify right side
31,272x = 4,553,010,576 - Step 5: Solve for x
x = 4,553,010,576/31,272 - Step 6: Final answer
x = 145,593.84
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.