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Finding the Third Proportional to 24,863 and 54,451

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Solution

The third proportional to 24,863 and 54,451 is: 119,249.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,863 : 54,451 = 54,451 : x
  2. Step 2: Convert to fraction form
    24,863/54,451 = 54,451/x
  3. Step 3: Cross multiply
    24,863x = 54,451 × 54,451
  4. Step 4: Simplify right side
    24,863x = 2,964,911,401
  5. Step 5: Solve for x
    x = 2,964,911,401/24,863
  6. Step 6: Final answer
    x = 119,249.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.