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Finding the Third Proportional to 34.96 and 54.42

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Solution

The third proportional to 34.96 and 54.42 is: 84.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.96 : 54.42 = 54.42 : x
  2. Step 2: Convert to fraction form
    34.96/54.42 = 54.42/x
  3. Step 3: Cross multiply
    34.96x = 54.42 × 54.42
  4. Step 4: Simplify right side
    34.96x = 2,961.74
  5. Step 5: Solve for x
    x = 2,961.74/34.96
  6. Step 6: Final answer
    x = 84.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.