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Finding the Third Proportional to 19.96 and 42.97

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Solution

The third proportional to 19.96 and 42.97 is: 92.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.96 : 42.97 = 42.97 : x
  2. Step 2: Convert to fraction form
    19.96/42.97 = 42.97/x
  3. Step 3: Cross multiply
    19.96x = 42.97 × 42.97
  4. Step 4: Simplify right side
    19.96x = 1,846.64
  5. Step 5: Solve for x
    x = 1,846.64/19.96
  6. Step 6: Final answer
    x = 92.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.