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Finding the Third Proportional to 29,877 and 62,814

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Solution

The third proportional to 29,877 and 62,814 is: 132,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877 : 62,814 = 62,814 : x
  2. Step 2: Convert to fraction form
    29,877/62,814 = 62,814/x
  3. Step 3: Cross multiply
    29,877x = 62,814 × 62,814
  4. Step 4: Simplify right side
    29,877x = 3,945,598,596
  5. Step 5: Solve for x
    x = 3,945,598,596/29,877
  6. Step 6: Final answer
    x = 132,061.40

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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.