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Finding the Third Proportional to 39.16 and 55.61

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Solution

The third proportional to 39.16 and 55.61 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.16 : 55.61 = 55.61 : x
  2. Step 2: Convert to fraction form
    39.16/55.61 = 55.61/x
  3. Step 3: Cross multiply
    39.16x = 55.61 × 55.61
  4. Step 4: Simplify right side
    39.16x = 3,092.29
  5. Step 5: Solve for x
    x = 3,092.29/39.16
  6. Step 6: Final answer
    x = 78.98

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.