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Finding the Third Proportional to 6.75 and 7.69

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Solution

The third proportional to 6.75 and 7.69 is: 8.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.75 : 7.69 = 7.69 : x
  2. Step 2: Convert to fraction form
    6.75/7.69 = 7.69/x
  3. Step 3: Cross multiply
    6.75x = 7.69 × 7.69
  4. Step 4: Simplify right side
    6.75x = 59.10
  5. Step 5: Solve for x
    x = 59.10/6.75
  6. Step 6: Final answer
    x = 8.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.