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Finding the Third Proportional to 29,438 and 63,571

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Solution

The third proportional to 29,438 and 63,571 is: 137,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,438 : 63,571 = 63,571 : x
  2. Step 2: Convert to fraction form
    29,438/63,571 = 63,571/x
  3. Step 3: Cross multiply
    29,438x = 63,571 × 63,571
  4. Step 4: Simplify right side
    29,438x = 4,041,272,041
  5. Step 5: Solve for x
    x = 4,041,272,041/29,438
  6. Step 6: Final answer
    x = 137,280.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.