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Finding the Third Proportional to 37.97 and 79.31

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Solution

The third proportional to 37.97 and 79.31 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 79.31 = 79.31 : x
  2. Step 2: Convert to fraction form
    37.97/79.31 = 79.31/x
  3. Step 3: Cross multiply
    37.97x = 79.31 × 79.31
  4. Step 4: Simplify right side
    37.97x = 6,290.47
  5. Step 5: Solve for x
    x = 6,290.47/37.97
  6. Step 6: Final answer
    x = 165.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.