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Finding the Third Proportional to 6,722 and 10,427

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Solution

The third proportional to 6,722 and 10,427 is: 16,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722 : 10,427 = 10,427 : x
  2. Step 2: Convert to fraction form
    6,722/10,427 = 10,427/x
  3. Step 3: Cross multiply
    6,722x = 10,427 × 10,427
  4. Step 4: Simplify right side
    6,722x = 108,722,329
  5. Step 5: Solve for x
    x = 108,722,329/6,722
  6. Step 6: Final answer
    x = 16,174.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.