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Finding the Third Proportional to 17.41 and 26.95

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Solution

The third proportional to 17.41 and 26.95 is: 41.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.41 : 26.95 = 26.95 : x
  2. Step 2: Convert to fraction form
    17.41/26.95 = 26.95/x
  3. Step 3: Cross multiply
    17.41x = 26.95 × 26.95
  4. Step 4: Simplify right side
    17.41x = 726.16
  5. Step 5: Solve for x
    x = 726.16/17.41
  6. Step 6: Final answer
    x = 41.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.