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Finding the Third Proportional to 42,272 and 63,571

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Solution

The third proportional to 42,272 and 63,571 is: 95,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,272 : 63,571 = 63,571 : x
  2. Step 2: Convert to fraction form
    42,272/63,571 = 63,571/x
  3. Step 3: Cross multiply
    42,272x = 63,571 × 63,571
  4. Step 4: Simplify right side
    42,272x = 4,041,272,041
  5. Step 5: Solve for x
    x = 4,041,272,041/42,272
  6. Step 6: Final answer
    x = 95,601.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.