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Finding the Third Proportional to 36,414 and 54,741

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Solution

The third proportional to 36,414 and 54,741 is: 82,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 54,741 = 54,741 : x
  2. Step 2: Convert to fraction form
    36,414/54,741 = 54,741/x
  3. Step 3: Cross multiply
    36,414x = 54,741 × 54,741
  4. Step 4: Simplify right side
    36,414x = 2,996,577,081
  5. Step 5: Solve for x
    x = 2,996,577,081/36,414
  6. Step 6: Final answer
    x = 82,291.90

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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.