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Finding the Third Proportional to 6.75 and 10.97

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Solution

The third proportional to 6.75 and 10.97 is: 17.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.75 : 10.97 = 10.97 : x
  2. Step 2: Convert to fraction form
    6.75/10.97 = 10.97/x
  3. Step 3: Cross multiply
    6.75x = 10.97 × 10.97
  4. Step 4: Simplify right side
    6.75x = 120.31
  5. Step 5: Solve for x
    x = 120.31/6.75
  6. Step 6: Final answer
    x = 17.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.