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Finding the Third Proportional to 10,542.66 and 22,540.78

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Solution

The third proportional to 10,542.66 and 22,540.78 is: 48,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.66 : 22,540.78 = 22,540.78 : x
  2. Step 2: Convert to fraction form
    10,542.66/22,540.78 = 22,540.78/x
  3. Step 3: Cross multiply
    10,542.66x = 22,540.78 × 22,540.78
  4. Step 4: Simplify right side
    10,542.66x = 508,086,819.36
  5. Step 5: Solve for x
    x = 508,086,819.36/10,542.66
  6. Step 6: Final answer
    x = 48,193.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.