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Finding the Third Proportional to 20,917.97 and 29,257.88

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Solution

The third proportional to 20,917.97 and 29,257.88 is: 40,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,917.97 : 29,257.88 = 29,257.88 : x
  2. Step 2: Convert to fraction form
    20,917.97/29,257.88 = 29,257.88/x
  3. Step 3: Cross multiply
    20,917.97x = 29,257.88 × 29,257.88
  4. Step 4: Simplify right side
    20,917.97x = 856,023,249.52
  5. Step 5: Solve for x
    x = 856,023,249.52/20,917.97
  6. Step 6: Final answer
    x = 40,922.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.