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Finding the Third Proportional to 16.14 and 34.41

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Solution

The third proportional to 16.14 and 34.41 is: 73.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 34.41 = 34.41 : x
  2. Step 2: Convert to fraction form
    16.14/34.41 = 34.41/x
  3. Step 3: Cross multiply
    16.14x = 34.41 × 34.41
  4. Step 4: Simplify right side
    16.14x = 1,183.99
  5. Step 5: Solve for x
    x = 1,183.99/16.14
  6. Step 6: Final answer
    x = 73.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.