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Finding the Third Proportional to 11.00 and 16.73

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Solution

The third proportional to 11.00 and 16.73 is: 25.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.00 : 16.73 = 16.73 : x
  2. Step 2: Convert to fraction form
    11.00/16.73 = 16.73/x
  3. Step 3: Cross multiply
    11.00x = 16.73 × 16.73
  4. Step 4: Simplify right side
    11.00x = 280.04
  5. Step 5: Solve for x
    x = 280.04/11.00
  6. Step 6: Final answer
    x = 25.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.