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Finding the Third Proportional to 37.97 and 82.27

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Solution

The third proportional to 37.97 and 82.27 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 82.27 = 82.27 : x
  2. Step 2: Convert to fraction form
    37.97/82.27 = 82.27/x
  3. Step 3: Cross multiply
    37.97x = 82.27 × 82.27
  4. Step 4: Simplify right side
    37.97x = 6,767.63
  5. Step 5: Solve for x
    x = 6,767.63/37.97
  6. Step 6: Final answer
    x = 178.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.