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Finding the Third Proportional to 29,437 and 63,569

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Solution

The third proportional to 29,437 and 63,569 is: 137,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,437 : 63,569 = 63,569 : x
  2. Step 2: Convert to fraction form
    29,437/63,569 = 63,569/x
  3. Step 3: Cross multiply
    29,437x = 63,569 × 63,569
  4. Step 4: Simplify right side
    29,437x = 4,041,017,761
  5. Step 5: Solve for x
    x = 4,041,017,761/29,437
  6. Step 6: Final answer
    x = 137,276.82

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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.