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Finding the Third Proportional to 16.14 and 34.33

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Solution

The third proportional to 16.14 and 34.33 is: 73.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 34.33 = 34.33 : x
  2. Step 2: Convert to fraction form
    16.14/34.33 = 34.33/x
  3. Step 3: Cross multiply
    16.14x = 34.33 × 34.33
  4. Step 4: Simplify right side
    16.14x = 1,178.55
  5. Step 5: Solve for x
    x = 1,178.55/16.14
  6. Step 6: Final answer
    x = 73.04

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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.