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Finding the Third Proportional to 22,625.16 and 49,711.22

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Solution

The third proportional to 22,625.16 and 49,711.22 is: 109,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625.16 : 49,711.22 = 49,711.22 : x
  2. Step 2: Convert to fraction form
    22,625.16/49,711.22 = 49,711.22/x
  3. Step 3: Cross multiply
    22,625.16x = 49,711.22 × 49,711.22
  4. Step 4: Simplify right side
    22,625.16x = 2,471,205,269.61
  5. Step 5: Solve for x
    x = 2,471,205,269.61/22,625.16
  6. Step 6: Final answer
    x = 109,223.79

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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.