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Finding the Third Proportional to 29,138 and 62,431

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Solution

The third proportional to 29,138 and 62,431 is: 133,764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138 : 62,431 = 62,431 : x
  2. Step 2: Convert to fraction form
    29,138/62,431 = 62,431/x
  3. Step 3: Cross multiply
    29,138x = 62,431 × 62,431
  4. Step 4: Simplify right side
    29,138x = 3,897,629,761
  5. Step 5: Solve for x
    x = 3,897,629,761/29,138
  6. Step 6: Final answer
    x = 133,764.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.