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Finding the Third Proportional to 17.96 and 26.94

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Solution

The third proportional to 17.96 and 26.94 is: 40.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.96 : 26.94 = 26.94 : x
  2. Step 2: Convert to fraction form
    17.96/26.94 = 26.94/x
  3. Step 3: Cross multiply
    17.96x = 26.94 × 26.94
  4. Step 4: Simplify right side
    17.96x = 725.80
  5. Step 5: Solve for x
    x = 725.80/17.96
  6. Step 6: Final answer
    x = 40.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.