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Finding the Third Proportional to 19.97 and 42.33

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Solution

The third proportional to 19.97 and 42.33 is: 89.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 42.33 = 42.33 : x
  2. Step 2: Convert to fraction form
    19.97/42.33 = 42.33/x
  3. Step 3: Cross multiply
    19.97x = 42.33 × 42.33
  4. Step 4: Simplify right side
    19.97x = 1,791.67
  5. Step 5: Solve for x
    x = 1,791.67/19.97
  6. Step 6: Final answer
    x = 89.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.