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Finding the Third Proportional to 24,993 and 38,684

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Solution

The third proportional to 24,993 and 38,684 is: 59,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993 : 38,684 = 38,684 : x
  2. Step 2: Convert to fraction form
    24,993/38,684 = 38,684/x
  3. Step 3: Cross multiply
    24,993x = 38,684 × 38,684
  4. Step 4: Simplify right side
    24,993x = 1,496,451,856
  5. Step 5: Solve for x
    x = 1,496,451,856/24,993
  6. Step 6: Final answer
    x = 59,874.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.