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Finding the Third Proportional to 29,902 and 63,448

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Solution

The third proportional to 29,902 and 63,448 is: 134,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 63,448 = 63,448 : x
  2. Step 2: Convert to fraction form
    29,902/63,448 = 63,448/x
  3. Step 3: Cross multiply
    29,902x = 63,448 × 63,448
  4. Step 4: Simplify right side
    29,902x = 4,025,648,704
  5. Step 5: Solve for x
    x = 4,025,648,704/29,902
  6. Step 6: Final answer
    x = 134,628.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.