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Finding the Third Proportional to 22,092.38 and 47,686.58

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Solution

The third proportional to 22,092.38 and 47,686.58 is: 102,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,092.38 : 47,686.58 = 47,686.58 : x
  2. Step 2: Convert to fraction form
    22,092.38/47,686.58 = 47,686.58/x
  3. Step 3: Cross multiply
    22,092.38x = 47,686.58 × 47,686.58
  4. Step 4: Simplify right side
    22,092.38x = 2,274,010,350.31
  5. Step 5: Solve for x
    x = 2,274,010,350.31/22,092.38
  6. Step 6: Final answer
    x = 102,931.87

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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.