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Finding the Third Proportional to 54.42 and 75.94

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Solution

The third proportional to 54.42 and 75.94 is: 105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.42 : 75.94 = 75.94 : x
  2. Step 2: Convert to fraction form
    54.42/75.94 = 75.94/x
  3. Step 3: Cross multiply
    54.42x = 75.94 × 75.94
  4. Step 4: Simplify right side
    54.42x = 5,766.50
  5. Step 5: Solve for x
    x = 5,766.50/54.42
  6. Step 6: Final answer
    x = 105.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.