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Finding the Third Proportional to 17.72 and 37.97

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Solution

The third proportional to 17.72 and 37.97 is: 81.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.72 : 37.97 = 37.97 : x
  2. Step 2: Convert to fraction form
    17.72/37.97 = 37.97/x
  3. Step 3: Cross multiply
    17.72x = 37.97 × 37.97
  4. Step 4: Simplify right side
    17.72x = 1,441.63
  5. Step 5: Solve for x
    x = 1,441.63/17.72
  6. Step 6: Final answer
    x = 81.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.