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Finding the Third Proportional to 16.27 and 39.41

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Solution

The third proportional to 16.27 and 39.41 is: 95.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.27 : 39.41 = 39.41 : x
  2. Step 2: Convert to fraction form
    16.27/39.41 = 39.41/x
  3. Step 3: Cross multiply
    16.27x = 39.41 × 39.41
  4. Step 4: Simplify right side
    16.27x = 1,553.37
  5. Step 5: Solve for x
    x = 1,553.37/16.27
  6. Step 6: Final answer
    x = 95.50

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.