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Finding the Third Proportional to 29,449 and 62,867

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Solution

The third proportional to 29,449 and 62,867 is: 134,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,449 : 62,867 = 62,867 : x
  2. Step 2: Convert to fraction form
    29,449/62,867 = 62,867/x
  3. Step 3: Cross multiply
    29,449x = 62,867 × 62,867
  4. Step 4: Simplify right side
    29,449x = 3,952,259,689
  5. Step 5: Solve for x
    x = 3,952,259,689/29,449
  6. Step 6: Final answer
    x = 134,206.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.