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Finding the Third Proportional to 43.97 and 104.86

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Solution

The third proportional to 43.97 and 104.86 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.97 : 104.86 = 104.86 : x
  2. Step 2: Convert to fraction form
    43.97/104.86 = 104.86/x
  3. Step 3: Cross multiply
    43.97x = 104.86 × 104.86
  4. Step 4: Simplify right side
    43.97x = 10,995.49
  5. Step 5: Solve for x
    x = 10,995.49/43.97
  6. Step 6: Final answer
    x = 250.08

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.