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Finding the Third Proportional to 16.73 and 26.86

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Solution

The third proportional to 16.73 and 26.86 is: 43.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.73 : 26.86 = 26.86 : x
  2. Step 2: Convert to fraction form
    16.73/26.86 = 26.86/x
  3. Step 3: Cross multiply
    16.73x = 26.86 × 26.86
  4. Step 4: Simplify right side
    16.73x = 721.43
  5. Step 5: Solve for x
    x = 721.43/16.73
  6. Step 6: Final answer
    x = 43.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.