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Finding the Third Proportional to 39.38 and 81.14

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Solution

The third proportional to 39.38 and 81.14 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.38 : 81.14 = 81.14 : x
  2. Step 2: Convert to fraction form
    39.38/81.14 = 81.14/x
  3. Step 3: Cross multiply
    39.38x = 81.14 × 81.14
  4. Step 4: Simplify right side
    39.38x = 6,583.80
  5. Step 5: Solve for x
    x = 6,583.80/39.38
  6. Step 6: Final answer
    x = 167.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.