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Finding the Third Proportional to 29,125 and 62,408

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Solution

The third proportional to 29,125 and 62,408 is: 133,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,125 : 62,408 = 62,408 : x
  2. Step 2: Convert to fraction form
    29,125/62,408 = 62,408/x
  3. Step 3: Cross multiply
    29,125x = 62,408 × 62,408
  4. Step 4: Simplify right side
    29,125x = 3,894,758,464
  5. Step 5: Solve for x
    x = 3,894,758,464/29,125
  6. Step 6: Final answer
    x = 133,725.61

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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.