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Finding the Third Proportional to 7.52 and 15.44

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Solution

The third proportional to 7.52 and 15.44 is: 31.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.52 : 15.44 = 15.44 : x
  2. Step 2: Convert to fraction form
    7.52/15.44 = 15.44/x
  3. Step 3: Cross multiply
    7.52x = 15.44 × 15.44
  4. Step 4: Simplify right side
    7.52x = 238.38
  5. Step 5: Solve for x
    x = 238.38/7.52
  6. Step 6: Final answer
    x = 31.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.