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Finding the Third Proportional to 16.73 and 40.05

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Solution

The third proportional to 16.73 and 40.05 is: 95.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 40.05 = 40.05 : x
  2. Step 2: Convert to fraction form
    16.73/40.05 = 40.05/x
  3. Step 3: Cross multiply
    16.73x = 40.05 × 40.05
  4. Step 4: Simplify right side
    16.73x = 1,603.85
  5. Step 5: Solve for x
    x = 1,603.85/16.73
  6. Step 6: Final answer
    x = 95.85

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.