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Finding the Third Proportional to 54 and 74.44

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Solution

The third proportional to 54 and 74.44 is: 102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 74.44 = 74.44 : x
  2. Step 2: Convert to fraction form
    54/74.44 = 74.44/x
  3. Step 3: Cross multiply
    54x = 74.44 × 74.44
  4. Step 4: Simplify right side
    54x = 5,540.94
  5. Step 5: Solve for x
    x = 5,540.94/54
  6. Step 6: Final answer
    x = 102.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.