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Finding the Third Proportional to 38.25 and 40.75

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Solution

The third proportional to 38.25 and 40.75 is: 43.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 40.75 = 40.75 : x
  2. Step 2: Convert to fraction form
    38.25/40.75 = 40.75/x
  3. Step 3: Cross multiply
    38.25x = 40.75 × 40.75
  4. Step 4: Simplify right side
    38.25x = 1,660.56
  5. Step 5: Solve for x
    x = 1,660.56/38.25
  6. Step 6: Final answer
    x = 43.41

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.