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Finding the Third Proportional to 24,776 and 54,474

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Solution

The third proportional to 24,776 and 54,474 is: 119,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 54,474 = 54,474 : x
  2. Step 2: Convert to fraction form
    24,776/54,474 = 54,474/x
  3. Step 3: Cross multiply
    24,776x = 54,474 × 54,474
  4. Step 4: Simplify right side
    24,776x = 2,967,416,676
  5. Step 5: Solve for x
    x = 2,967,416,676/24,776
  6. Step 6: Final answer
    x = 119,769.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.