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Finding the Third Proportional to 24,145.31 and 36,712.13

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Solution

The third proportional to 24,145.31 and 36,712.13 is: 55,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145.31 : 36,712.13 = 36,712.13 : x
  2. Step 2: Convert to fraction form
    24,145.31/36,712.13 = 36,712.13/x
  3. Step 3: Cross multiply
    24,145.31x = 36,712.13 × 36,712.13
  4. Step 4: Simplify right side
    24,145.31x = 1,347,780,122.02
  5. Step 5: Solve for x
    x = 1,347,780,122.02/24,145.31
  6. Step 6: Final answer
    x = 55,819.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.