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Finding the Third Proportional to 24,648 and 38,616

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Solution

The third proportional to 24,648 and 38,616 is: 60,499.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648 : 38,616 = 38,616 : x
  2. Step 2: Convert to fraction form
    24,648/38,616 = 38,616/x
  3. Step 3: Cross multiply
    24,648x = 38,616 × 38,616
  4. Step 4: Simplify right side
    24,648x = 1,491,195,456
  5. Step 5: Solve for x
    x = 1,491,195,456/24,648
  6. Step 6: Final answer
    x = 60,499.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.