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Finding the Third Proportional to 24,108.38 and 36,138.75

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Solution

The third proportional to 24,108.38 and 36,138.75 is: 54,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108.38 : 36,138.75 = 36,138.75 : x
  2. Step 2: Convert to fraction form
    24,108.38/36,138.75 = 36,138.75/x
  3. Step 3: Cross multiply
    24,108.38x = 36,138.75 × 36,138.75
  4. Step 4: Simplify right side
    24,108.38x = 1,306,009,251.56
  5. Step 5: Solve for x
    x = 1,306,009,251.56/24,108.38
  6. Step 6: Final answer
    x = 54,172.43

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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.