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Finding the Third Proportional to 42,713 and 63,721

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Solution

The third proportional to 42,713 and 63,721 is: 95,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713 : 63,721 = 63,721 : x
  2. Step 2: Convert to fraction form
    42,713/63,721 = 63,721/x
  3. Step 3: Cross multiply
    42,713x = 63,721 × 63,721
  4. Step 4: Simplify right side
    42,713x = 4,060,365,841
  5. Step 5: Solve for x
    x = 4,060,365,841/42,713
  6. Step 6: Final answer
    x = 95,061.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.