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Finding the Third Proportional to 38.97 and 42.94

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Solution

The third proportional to 38.97 and 42.94 is: 47.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.97 : 42.94 = 42.94 : x
  2. Step 2: Convert to fraction form
    38.97/42.94 = 42.94/x
  3. Step 3: Cross multiply
    38.97x = 42.94 × 42.94
  4. Step 4: Simplify right side
    38.97x = 1,843.63
  5. Step 5: Solve for x
    x = 1,843.63/38.97
  6. Step 6: Final answer
    x = 47.31

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.