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Finding the Third Proportional to 11,882 and 18,642

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Solution

The third proportional to 11,882 and 18,642 is: 29,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882 : 18,642 = 18,642 : x
  2. Step 2: Convert to fraction form
    11,882/18,642 = 18,642/x
  3. Step 3: Cross multiply
    11,882x = 18,642 × 18,642
  4. Step 4: Simplify right side
    11,882x = 347,524,164
  5. Step 5: Solve for x
    x = 347,524,164/11,882
  6. Step 6: Final answer
    x = 29,247.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.