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Finding the Third Proportional to 24,431 and 36,503

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Solution

The third proportional to 24,431 and 36,503 is: 54,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431 : 36,503 = 36,503 : x
  2. Step 2: Convert to fraction form
    24,431/36,503 = 36,503/x
  3. Step 3: Cross multiply
    24,431x = 36,503 × 36,503
  4. Step 4: Simplify right side
    24,431x = 1,332,469,009
  5. Step 5: Solve for x
    x = 1,332,469,009/24,431
  6. Step 6: Final answer
    x = 54,540.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.