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Finding the Third Proportional to 10,542.66 and 22,648.36

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Solution

The third proportional to 10,542.66 and 22,648.36 is: 48,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.66 : 22,648.36 = 22,648.36 : x
  2. Step 2: Convert to fraction form
    10,542.66/22,648.36 = 22,648.36/x
  3. Step 3: Cross multiply
    10,542.66x = 22,648.36 × 22,648.36
  4. Step 4: Simplify right side
    10,542.66x = 512,948,182.38
  5. Step 5: Solve for x
    x = 512,948,182.38/10,542.66
  6. Step 6: Final answer
    x = 48,654.55

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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.