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Finding the Third Proportional to 8.06 and 17.38

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Solution

The third proportional to 8.06 and 17.38 is: 37.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 17.38 = 17.38 : x
  2. Step 2: Convert to fraction form
    8.06/17.38 = 17.38/x
  3. Step 3: Cross multiply
    8.06x = 17.38 × 17.38
  4. Step 4: Simplify right side
    8.06x = 301.89
  5. Step 5: Solve for x
    x = 301.89/8.06
  6. Step 6: Final answer
    x = 37.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.