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Finding the Third Proportional to 34.52 and 72.42

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Solution

The third proportional to 34.52 and 72.42 is: 151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.52 : 72.42 = 72.42 : x
  2. Step 2: Convert to fraction form
    34.52/72.42 = 72.42/x
  3. Step 3: Cross multiply
    34.52x = 72.42 × 72.42
  4. Step 4: Simplify right side
    34.52x = 5,244.93
  5. Step 5: Solve for x
    x = 5,244.93/34.52
  6. Step 6: Final answer
    x = 151.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.