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Finding the Third Proportional to 29,417 and 63,748

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Solution

The third proportional to 29,417 and 63,748 is: 138,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,417 : 63,748 = 63,748 : x
  2. Step 2: Convert to fraction form
    29,417/63,748 = 63,748/x
  3. Step 3: Cross multiply
    29,417x = 63,748 × 63,748
  4. Step 4: Simplify right side
    29,417x = 4,063,807,504
  5. Step 5: Solve for x
    x = 4,063,807,504/29,417
  6. Step 6: Final answer
    x = 138,144.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.