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Finding the Third Proportional to 29,705 and 63,874

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Solution

The third proportional to 29,705 and 63,874 is: 137,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,705 : 63,874 = 63,874 : x
  2. Step 2: Convert to fraction form
    29,705/63,874 = 63,874/x
  3. Step 3: Cross multiply
    29,705x = 63,874 × 63,874
  4. Step 4: Simplify right side
    29,705x = 4,079,887,876
  5. Step 5: Solve for x
    x = 4,079,887,876/29,705
  6. Step 6: Final answer
    x = 137,346.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.