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Finding the Third Proportional to 8.06 and 12.73

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Solution

The third proportional to 8.06 and 12.73 is: 20.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.06 : 12.73 = 12.73 : x
  2. Step 2: Convert to fraction form
    8.06/12.73 = 12.73/x
  3. Step 3: Cross multiply
    8.06x = 12.73 × 12.73
  4. Step 4: Simplify right side
    8.06x = 161.93
  5. Step 5: Solve for x
    x = 161.93/8.06
  6. Step 6: Final answer
    x = 20.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.