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Finding the Third Proportional to 29,387 and 61,797

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Solution

The third proportional to 29,387 and 61,797 is: 129,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,387 : 61,797 = 61,797 : x
  2. Step 2: Convert to fraction form
    29,387/61,797 = 61,797/x
  3. Step 3: Cross multiply
    29,387x = 61,797 × 61,797
  4. Step 4: Simplify right side
    29,387x = 3,818,869,209
  5. Step 5: Solve for x
    x = 3,818,869,209/29,387
  6. Step 6: Final answer
    x = 129,950.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.