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Finding the Third Proportional to 6,891 and 10,542

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Solution

The third proportional to 6,891 and 10,542 is: 16,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891 : 10,542 = 10,542 : x
  2. Step 2: Convert to fraction form
    6,891/10,542 = 10,542/x
  3. Step 3: Cross multiply
    6,891x = 10,542 × 10,542
  4. Step 4: Simplify right side
    6,891x = 111,133,764
  5. Step 5: Solve for x
    x = 111,133,764/6,891
  6. Step 6: Final answer
    x = 16,127.38

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.