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Finding the Third Proportional to 7.68 and 11.24

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Solution

The third proportional to 7.68 and 11.24 is: 16.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.68 : 11.24 = 11.24 : x
  2. Step 2: Convert to fraction form
    7.68/11.24 = 11.24/x
  3. Step 3: Cross multiply
    7.68x = 11.24 × 11.24
  4. Step 4: Simplify right side
    7.68x = 126.27
  5. Step 5: Solve for x
    x = 126.27/7.68
  6. Step 6: Final answer
    x = 16.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.