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Finding the Third Proportional to 24,115.50 and 49,404

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Solution

The third proportional to 24,115.50 and 49,404 is: 101,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.50 : 49,404 = 49,404 : x
  2. Step 2: Convert to fraction form
    24,115.50/49,404 = 49,404/x
  3. Step 3: Cross multiply
    24,115.50x = 49,404 × 49,404
  4. Step 4: Simplify right side
    24,115.50x = 2,440,755,216
  5. Step 5: Solve for x
    x = 2,440,755,216/24,115.50
  6. Step 6: Final answer
    x = 101,211.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.