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Finding the Third Proportional to 22,418.25 and 49,190

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Solution

The third proportional to 22,418.25 and 49,190 is: 107,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,418.25 : 49,190 = 49,190 : x
  2. Step 2: Convert to fraction form
    22,418.25/49,190 = 49,190/x
  3. Step 3: Cross multiply
    22,418.25x = 49,190 × 49,190
  4. Step 4: Simplify right side
    22,418.25x = 2,419,656,100
  5. Step 5: Solve for x
    x = 2,419,656,100/22,418.25
  6. Step 6: Final answer
    x = 107,932.43

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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.