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Finding the Third Proportional to 39.25 and 81.25

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Solution

The third proportional to 39.25 and 81.25 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.25 : 81.25 = 81.25 : x
  2. Step 2: Convert to fraction form
    39.25/81.25 = 81.25/x
  3. Step 3: Cross multiply
    39.25x = 81.25 × 81.25
  4. Step 4: Simplify right side
    39.25x = 6,601.56
  5. Step 5: Solve for x
    x = 6,601.56/39.25
  6. Step 6: Final answer
    x = 168.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.