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Finding the Third Proportional to 54.42 and 74.04

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Solution

The third proportional to 54.42 and 74.04 is: 100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 74.04 = 74.04 : x
  2. Step 2: Convert to fraction form
    54.42/74.04 = 74.04/x
  3. Step 3: Cross multiply
    54.42x = 74.04 × 74.04
  4. Step 4: Simplify right side
    54.42x = 5,481.78
  5. Step 5: Solve for x
    x = 5,481.78/54.42
  6. Step 6: Final answer
    x = 100.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.