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Finding the Third Proportional to 36,882 and 55,491

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Solution

The third proportional to 36,882 and 55,491 is: 83,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,882 : 55,491 = 55,491 : x
  2. Step 2: Convert to fraction form
    36,882/55,491 = 55,491/x
  3. Step 3: Cross multiply
    36,882x = 55,491 × 55,491
  4. Step 4: Simplify right side
    36,882x = 3,079,251,081
  5. Step 5: Solve for x
    x = 3,079,251,081/36,882
  6. Step 6: Final answer
    x = 83,489.27

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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.