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Finding the Third Proportional to 22,182 and 30,812

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Solution

The third proportional to 22,182 and 30,812 is: 42,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182 : 30,812 = 30,812 : x
  2. Step 2: Convert to fraction form
    22,182/30,812 = 30,812/x
  3. Step 3: Cross multiply
    22,182x = 30,812 × 30,812
  4. Step 4: Simplify right side
    22,182x = 949,379,344
  5. Step 5: Solve for x
    x = 949,379,344/22,182
  6. Step 6: Final answer
    x = 42,799.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.