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Finding the Third Proportional to 4,162 and 8,189

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Solution

The third proportional to 4,162 and 8,189 is: 16,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 8,189 = 8,189 : x
  2. Step 2: Convert to fraction form
    4,162/8,189 = 8,189/x
  3. Step 3: Cross multiply
    4,162x = 8,189 × 8,189
  4. Step 4: Simplify right side
    4,162x = 67,059,721
  5. Step 5: Solve for x
    x = 67,059,721/4,162
  6. Step 6: Final answer
    x = 16,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.