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Finding the Third Proportional to 24,498 and 38,935

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Solution

The third proportional to 24,498 and 38,935 is: 61,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498 : 38,935 = 38,935 : x
  2. Step 2: Convert to fraction form
    24,498/38,935 = 38,935/x
  3. Step 3: Cross multiply
    24,498x = 38,935 × 38,935
  4. Step 4: Simplify right side
    24,498x = 1,515,934,225
  5. Step 5: Solve for x
    x = 1,515,934,225/24,498
  6. Step 6: Final answer
    x = 61,879.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.