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Finding the Third Proportional to 37.97 and 43.66

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Solution

The third proportional to 37.97 and 43.66 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 43.66 = 43.66 : x
  2. Step 2: Convert to fraction form
    37.97/43.66 = 43.66/x
  3. Step 3: Cross multiply
    37.97x = 43.66 × 43.66
  4. Step 4: Simplify right side
    37.97x = 1,906.55
  5. Step 5: Solve for x
    x = 1,906.55/37.97
  6. Step 6: Final answer
    x = 50.21

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.