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Finding the Third Proportional to 22,549 and 40,177

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Solution

The third proportional to 22,549 and 40,177 is: 71,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549 : 40,177 = 40,177 : x
  2. Step 2: Convert to fraction form
    22,549/40,177 = 40,177/x
  3. Step 3: Cross multiply
    22,549x = 40,177 × 40,177
  4. Step 4: Simplify right side
    22,549x = 1,614,191,329
  5. Step 5: Solve for x
    x = 1,614,191,329/22,549
  6. Step 6: Final answer
    x = 71,585.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.