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Finding the Third Proportional to 2,162 and 5,234

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Solution

The third proportional to 2,162 and 5,234 is: 12,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162 : 5,234 = 5,234 : x
  2. Step 2: Convert to fraction form
    2,162/5,234 = 5,234/x
  3. Step 3: Cross multiply
    2,162x = 5,234 × 5,234
  4. Step 4: Simplify right side
    2,162x = 27,394,756
  5. Step 5: Solve for x
    x = 27,394,756/2,162
  6. Step 6: Final answer
    x = 12,671.02

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.