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Finding the Third Proportional to 43.97 and 71.02

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Solution

The third proportional to 43.97 and 71.02 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.97 : 71.02 = 71.02 : x
  2. Step 2: Convert to fraction form
    43.97/71.02 = 71.02/x
  3. Step 3: Cross multiply
    43.97x = 71.02 × 71.02
  4. Step 4: Simplify right side
    43.97x = 5,044.29
  5. Step 5: Solve for x
    x = 5,044.29/43.97
  6. Step 6: Final answer
    x = 114.73

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.