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Finding the Third Proportional to 13,727 and 18,642

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Solution

The third proportional to 13,727 and 18,642 is: 25,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,727 : 18,642 = 18,642 : x
  2. Step 2: Convert to fraction form
    13,727/18,642 = 18,642/x
  3. Step 3: Cross multiply
    13,727x = 18,642 × 18,642
  4. Step 4: Simplify right side
    13,727x = 347,524,164
  5. Step 5: Solve for x
    x = 347,524,164/13,727
  6. Step 6: Final answer
    x = 25,316.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.