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Finding the Third Proportional to 38 and 39.25

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Solution

The third proportional to 38 and 39.25 is: 40.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 39.25 = 39.25 : x
  2. Step 2: Convert to fraction form
    38/39.25 = 39.25/x
  3. Step 3: Cross multiply
    38x = 39.25 × 39.25
  4. Step 4: Simplify right side
    38x = 1,540.56
  5. Step 5: Solve for x
    x = 1,540.56/38
  6. Step 6: Final answer
    x = 40.54

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.