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Finding the Third Proportional to 24,940 and 38,142

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Solution

The third proportional to 24,940 and 38,142 is: 58,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,940 : 38,142 = 38,142 : x
  2. Step 2: Convert to fraction form
    24,940/38,142 = 38,142/x
  3. Step 3: Cross multiply
    24,940x = 38,142 × 38,142
  4. Step 4: Simplify right side
    24,940x = 1,454,812,164
  5. Step 5: Solve for x
    x = 1,454,812,164/24,940
  6. Step 6: Final answer
    x = 58,332.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.