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Finding the Third Proportional to 3,872 and 9,622

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Solution

The third proportional to 3,872 and 9,622 is: 23,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 9,622 = 9,622 : x
  2. Step 2: Convert to fraction form
    3,872/9,622 = 9,622/x
  3. Step 3: Cross multiply
    3,872x = 9,622 × 9,622
  4. Step 4: Simplify right side
    3,872x = 92,582,884
  5. Step 5: Solve for x
    x = 92,582,884/3,872
  6. Step 6: Final answer
    x = 23,910.87

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.