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Finding the Third Proportional to 29,351 and 62,857

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Solution

The third proportional to 29,351 and 62,857 is: 134,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,351 : 62,857 = 62,857 : x
  2. Step 2: Convert to fraction form
    29,351/62,857 = 62,857/x
  3. Step 3: Cross multiply
    29,351x = 62,857 × 62,857
  4. Step 4: Simplify right side
    29,351x = 3,951,002,449
  5. Step 5: Solve for x
    x = 3,951,002,449/29,351
  6. Step 6: Final answer
    x = 134,612.19

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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.