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Finding the Third Proportional to 29,662 and 63,943

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Solution

The third proportional to 29,662 and 63,943 is: 137,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,662 : 63,943 = 63,943 : x
  2. Step 2: Convert to fraction form
    29,662/63,943 = 63,943/x
  3. Step 3: Cross multiply
    29,662x = 63,943 × 63,943
  4. Step 4: Simplify right side
    29,662x = 4,088,707,249
  5. Step 5: Solve for x
    x = 4,088,707,249/29,662
  6. Step 6: Final answer
    x = 137,843.28

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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.