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Finding the Third Proportional to 8.23 and 12.66

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Solution

The third proportional to 8.23 and 12.66 is: 19.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 12.66 = 12.66 : x
  2. Step 2: Convert to fraction form
    8.23/12.66 = 12.66/x
  3. Step 3: Cross multiply
    8.23x = 12.66 × 12.66
  4. Step 4: Simplify right side
    8.23x = 160.18
  5. Step 5: Solve for x
    x = 160.18/8.23
  6. Step 6: Final answer
    x = 19.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.