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Finding the Third Proportional to 6.75 and 8.02

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Solution

The third proportional to 6.75 and 8.02 is: 9.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.75 : 8.02 = 8.02 : x
  2. Step 2: Convert to fraction form
    6.75/8.02 = 8.02/x
  3. Step 3: Cross multiply
    6.75x = 8.02 × 8.02
  4. Step 4: Simplify right side
    6.75x = 64.25
  5. Step 5: Solve for x
    x = 64.25/6.75
  6. Step 6: Final answer
    x = 9.52

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.