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Finding the Third Proportional to 24,774 and 54,446

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Solution

The third proportional to 24,774 and 54,446 is: 119,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774 : 54,446 = 54,446 : x
  2. Step 2: Convert to fraction form
    24,774/54,446 = 54,446/x
  3. Step 3: Cross multiply
    24,774x = 54,446 × 54,446
  4. Step 4: Simplify right side
    24,774x = 2,964,366,916
  5. Step 5: Solve for x
    x = 2,964,366,916/24,774
  6. Step 6: Final answer
    x = 119,656.37

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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.