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Finding the Third Proportional to 3 and 7.25

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Solution

The third proportional to 3 and 7.25 is: 17.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3 : 7.25 = 7.25 : x
  2. Step 2: Convert to fraction form
    3/7.25 = 7.25/x
  3. Step 3: Cross multiply
    3x = 7.25 × 7.25
  4. Step 4: Simplify right side
    3x = 52.56
  5. Step 5: Solve for x
    x = 52.56/3
  6. Step 6: Final answer
    x = 17.52

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.