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Finding the Third Proportional to 18,132 and 27,186

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Solution

The third proportional to 18,132 and 27,186 is: 40,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132 : 27,186 = 27,186 : x
  2. Step 2: Convert to fraction form
    18,132/27,186 = 27,186/x
  3. Step 3: Cross multiply
    18,132x = 27,186 × 27,186
  4. Step 4: Simplify right side
    18,132x = 739,078,596
  5. Step 5: Solve for x
    x = 739,078,596/18,132
  6. Step 6: Final answer
    x = 40,761.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.