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Finding the Third Proportional to 6.96 and 11.24

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Solution

The third proportional to 6.96 and 11.24 is: 18.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.96 : 11.24 = 11.24 : x
  2. Step 2: Convert to fraction form
    6.96/11.24 = 11.24/x
  3. Step 3: Cross multiply
    6.96x = 11.24 × 11.24
  4. Step 4: Simplify right side
    6.96x = 126.25
  5. Step 5: Solve for x
    x = 126.25/6.96
  6. Step 6: Final answer
    x = 18.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.