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Finding the Third Proportional to 8.06 and 12.19

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Solution

The third proportional to 8.06 and 12.19 is: 18.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 12.19 = 12.19 : x
  2. Step 2: Convert to fraction form
    8.06/12.19 = 12.19/x
  3. Step 3: Cross multiply
    8.06x = 12.19 × 12.19
  4. Step 4: Simplify right side
    8.06x = 148.54
  5. Step 5: Solve for x
    x = 148.54/8.06
  6. Step 6: Final answer
    x = 18.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.