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Finding the Third Proportional to 43.24 and 91.97

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Solution

The third proportional to 43.24 and 91.97 is: 195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.24 : 91.97 = 91.97 : x
  2. Step 2: Convert to fraction form
    43.24/91.97 = 91.97/x
  3. Step 3: Cross multiply
    43.24x = 91.97 × 91.97
  4. Step 4: Simplify right side
    43.24x = 8,458.25
  5. Step 5: Solve for x
    x = 8,458.25/43.24
  6. Step 6: Final answer
    x = 195.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.