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Finding the Third Proportional to 24,553.50 and 36,789.38

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Solution

The third proportional to 24,553.50 and 36,789.38 is: 55,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,553.50 : 36,789.38 = 36,789.38 : x
  2. Step 2: Convert to fraction form
    24,553.50/36,789.38 = 36,789.38/x
  3. Step 3: Cross multiply
    24,553.50x = 36,789.38 × 36,789.38
  4. Step 4: Simplify right side
    24,553.50x = 1,353,458,112.89
  5. Step 5: Solve for x
    x = 1,353,458,112.89/24,553.50
  6. Step 6: Final answer
    x = 55,122.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.