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Finding the Third Proportional to 29,084 and 62,811

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Solution

The third proportional to 29,084 and 62,811 is: 135,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084 : 62,811 = 62,811 : x
  2. Step 2: Convert to fraction form
    29,084/62,811 = 62,811/x
  3. Step 3: Cross multiply
    29,084x = 62,811 × 62,811
  4. Step 4: Simplify right side
    29,084x = 3,945,221,721
  5. Step 5: Solve for x
    x = 3,945,221,721/29,084
  6. Step 6: Final answer
    x = 135,649.21

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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.