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Finding the Third Proportional to 6,880 and 7,744

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Solution

The third proportional to 6,880 and 7,744 is: 8,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 7,744 = 7,744 : x
  2. Step 2: Convert to fraction form
    6,880/7,744 = 7,744/x
  3. Step 3: Cross multiply
    6,880x = 7,744 × 7,744
  4. Step 4: Simplify right side
    6,880x = 59,969,536
  5. Step 5: Solve for x
    x = 59,969,536/6,880
  6. Step 6: Final answer
    x = 8,716.50

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.