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Finding the Third Proportional to 39.30 and 57.83

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Solution

The third proportional to 39.30 and 57.83 is: 85.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.30 : 57.83 = 57.83 : x
  2. Step 2: Convert to fraction form
    39.30/57.83 = 57.83/x
  3. Step 3: Cross multiply
    39.30x = 57.83 × 57.83
  4. Step 4: Simplify right side
    39.30x = 3,344.54
  5. Step 5: Solve for x
    x = 3,344.54/39.30
  6. Step 6: Final answer
    x = 85.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.