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Finding the Third Proportional to 29,534 and 62,404

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Solution

The third proportional to 29,534 and 62,404 is: 131,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534 : 62,404 = 62,404 : x
  2. Step 2: Convert to fraction form
    29,534/62,404 = 62,404/x
  3. Step 3: Cross multiply
    29,534x = 62,404 × 62,404
  4. Step 4: Simplify right side
    29,534x = 3,894,259,216
  5. Step 5: Solve for x
    x = 3,894,259,216/29,534
  6. Step 6: Final answer
    x = 131,856.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.