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Finding the Third Proportional to 17.11 and 37.31

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Solution

The third proportional to 17.11 and 37.31 is: 81.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.11 : 37.31 = 37.31 : x
  2. Step 2: Convert to fraction form
    17.11/37.31 = 37.31/x
  3. Step 3: Cross multiply
    17.11x = 37.31 × 37.31
  4. Step 4: Simplify right side
    17.11x = 1,392.22
  5. Step 5: Solve for x
    x = 1,392.22/17.11
  6. Step 6: Final answer
    x = 81.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.