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Finding the Third Proportional to 6.75 and 9.25

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Solution

The third proportional to 6.75 and 9.25 is: 12.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.75 : 9.25 = 9.25 : x
  2. Step 2: Convert to fraction form
    6.75/9.25 = 9.25/x
  3. Step 3: Cross multiply
    6.75x = 9.25 × 9.25
  4. Step 4: Simplify right side
    6.75x = 85.56
  5. Step 5: Solve for x
    x = 85.56/6.75
  6. Step 6: Final answer
    x = 12.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.