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Finding the Third Proportional to 27,441 and 40,186

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Solution

The third proportional to 27,441 and 40,186 is: 58,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 40,186 = 40,186 : x
  2. Step 2: Convert to fraction form
    27,441/40,186 = 40,186/x
  3. Step 3: Cross multiply
    27,441x = 40,186 × 40,186
  4. Step 4: Simplify right side
    27,441x = 1,614,914,596
  5. Step 5: Solve for x
    x = 1,614,914,596/27,441
  6. Step 6: Final answer
    x = 58,850.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.