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Finding the Third Proportional to 24,689 and 54,319

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Solution

The third proportional to 24,689 and 54,319 is: 119,508.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689 : 54,319 = 54,319 : x
  2. Step 2: Convert to fraction form
    24,689/54,319 = 54,319/x
  3. Step 3: Cross multiply
    24,689x = 54,319 × 54,319
  4. Step 4: Simplify right side
    24,689x = 2,950,553,761
  5. Step 5: Solve for x
    x = 2,950,553,761/24,689
  6. Step 6: Final answer
    x = 119,508.84

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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.