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Finding the Third Proportional to 17.46 and 27.11

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Solution

The third proportional to 17.46 and 27.11 is: 42.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.46 : 27.11 = 27.11 : x
  2. Step 2: Convert to fraction form
    17.46/27.11 = 27.11/x
  3. Step 3: Cross multiply
    17.46x = 27.11 × 27.11
  4. Step 4: Simplify right side
    17.46x = 734.71
  5. Step 5: Solve for x
    x = 734.71/17.46
  6. Step 6: Final answer
    x = 42.09

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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.