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Finding the Third Proportional to 22,542.75 and 48,211.88

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Solution

The third proportional to 22,542.75 and 48,211.88 is: 103,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.75 : 48,211.88 = 48,211.88 : x
  2. Step 2: Convert to fraction form
    22,542.75/48,211.88 = 48,211.88/x
  3. Step 3: Cross multiply
    22,542.75x = 48,211.88 × 48,211.88
  4. Step 4: Simplify right side
    22,542.75x = 2,324,384,891.02
  5. Step 5: Solve for x
    x = 2,324,384,891.02/22,542.75
  6. Step 6: Final answer
    x = 103,110.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.