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Finding the Third Proportional to 29,114 and 59,448

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Solution

The third proportional to 29,114 and 59,448 is: 121,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 59,448 = 59,448 : x
  2. Step 2: Convert to fraction form
    29,114/59,448 = 59,448/x
  3. Step 3: Cross multiply
    29,114x = 59,448 × 59,448
  4. Step 4: Simplify right side
    29,114x = 3,534,064,704
  5. Step 5: Solve for x
    x = 3,534,064,704/29,114
  6. Step 6: Final answer
    x = 121,387.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.