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Finding the Third Proportional to 29,497 and 63,686

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Solution

The third proportional to 29,497 and 63,686 is: 137,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497 : 63,686 = 63,686 : x
  2. Step 2: Convert to fraction form
    29,497/63,686 = 63,686/x
  3. Step 3: Cross multiply
    29,497x = 63,686 × 63,686
  4. Step 4: Simplify right side
    29,497x = 4,055,906,596
  5. Step 5: Solve for x
    x = 4,055,906,596/29,497
  6. Step 6: Final answer
    x = 137,502.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.