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Finding the Third Proportional to 8.06 and 17.19

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Solution

The third proportional to 8.06 and 17.19 is: 36.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 17.19 = 17.19 : x
  2. Step 2: Convert to fraction form
    8.06/17.19 = 17.19/x
  3. Step 3: Cross multiply
    8.06x = 17.19 × 17.19
  4. Step 4: Simplify right side
    8.06x = 295.41
  5. Step 5: Solve for x
    x = 295.41/8.06
  6. Step 6: Final answer
    x = 36.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.