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Finding the Third Proportional to 24,200 and 36,442

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Solution

The third proportional to 24,200 and 36,442 is: 54,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,200 : 36,442 = 36,442 : x
  2. Step 2: Convert to fraction form
    24,200/36,442 = 36,442/x
  3. Step 3: Cross multiply
    24,200x = 36,442 × 36,442
  4. Step 4: Simplify right side
    24,200x = 1,328,019,364
  5. Step 5: Solve for x
    x = 1,328,019,364/24,200
  6. Step 6: Final answer
    x = 54,876.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.