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Finding the Third Proportional to 2.82 and 7.24

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Solution

The third proportional to 2.82 and 7.24 is: 18.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.82 : 7.24 = 7.24 : x
  2. Step 2: Convert to fraction form
    2.82/7.24 = 7.24/x
  3. Step 3: Cross multiply
    2.82x = 7.24 × 7.24
  4. Step 4: Simplify right side
    2.82x = 52.41
  5. Step 5: Solve for x
    x = 52.41/2.82
  6. Step 6: Final answer
    x = 18.56

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.