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Finding the Third Proportional to 24,774 and 38,115

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Solution

The third proportional to 24,774 and 38,115 is: 58,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774 : 38,115 = 38,115 : x
  2. Step 2: Convert to fraction form
    24,774/38,115 = 38,115/x
  3. Step 3: Cross multiply
    24,774x = 38,115 × 38,115
  4. Step 4: Simplify right side
    24,774x = 1,452,753,225
  5. Step 5: Solve for x
    x = 1,452,753,225/24,774
  6. Step 6: Final answer
    x = 58,640.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.