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Finding the Third Proportional to 43.97 and 91.92

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Solution

The third proportional to 43.97 and 91.92 is: 192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.97 : 91.92 = 91.92 : x
  2. Step 2: Convert to fraction form
    43.97/91.92 = 91.92/x
  3. Step 3: Cross multiply
    43.97x = 91.92 × 91.92
  4. Step 4: Simplify right side
    43.97x = 8,449.63
  5. Step 5: Solve for x
    x = 8,449.63/43.97
  6. Step 6: Final answer
    x = 192.17

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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.