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Finding the Third Proportional to 18,086 and 27,110

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Solution

The third proportional to 18,086 and 27,110 is: 40,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086 : 27,110 = 27,110 : x
  2. Step 2: Convert to fraction form
    18,086/27,110 = 27,110/x
  3. Step 3: Cross multiply
    18,086x = 27,110 × 27,110
  4. Step 4: Simplify right side
    18,086x = 734,952,100
  5. Step 5: Solve for x
    x = 734,952,100/18,086
  6. Step 6: Final answer
    x = 40,636.52

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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.