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Finding the Third Proportional to 29,716 and 63,439

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Solution

The third proportional to 29,716 and 63,439 is: 135,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716 : 63,439 = 63,439 : x
  2. Step 2: Convert to fraction form
    29,716/63,439 = 63,439/x
  3. Step 3: Cross multiply
    29,716x = 63,439 × 63,439
  4. Step 4: Simplify right side
    29,716x = 4,024,506,721
  5. Step 5: Solve for x
    x = 4,024,506,721/29,716
  6. Step 6: Final answer
    x = 135,432.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.