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Finding the Third Proportional to 6 and 6.75

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Solution

The third proportional to 6 and 6.75 is: 7.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 6.75 = 6.75 : x
  2. Step 2: Convert to fraction form
    6/6.75 = 6.75/x
  3. Step 3: Cross multiply
    6x = 6.75 × 6.75
  4. Step 4: Simplify right side
    6x = 45.56
  5. Step 5: Solve for x
    x = 45.56/6
  6. Step 6: Final answer
    x = 7.59

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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.