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Finding the Third Proportional to 39.52 and 84.52

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Solution

The third proportional to 39.52 and 84.52 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.52 : 84.52 = 84.52 : x
  2. Step 2: Convert to fraction form
    39.52/84.52 = 84.52/x
  3. Step 3: Cross multiply
    39.52x = 84.52 × 84.52
  4. Step 4: Simplify right side
    39.52x = 7,142.89
  5. Step 5: Solve for x
    x = 7,142.89/39.52
  6. Step 6: Final answer
    x = 180.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.