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Finding the Third Proportional to 16.14 and 40.82

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Solution

The third proportional to 16.14 and 40.82 is: 103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.14 : 40.82 = 40.82 : x
  2. Step 2: Convert to fraction form
    16.14/40.82 = 40.82/x
  3. Step 3: Cross multiply
    16.14x = 40.82 × 40.82
  4. Step 4: Simplify right side
    16.14x = 1,665.98
  5. Step 5: Solve for x
    x = 1,665.98/16.14
  6. Step 6: Final answer
    x = 103.24

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.