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Finding the Third Proportional to 8.19 and 13.65

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Solution

The third proportional to 8.19 and 13.65 is: 22.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.19 : 13.65 = 13.65 : x
  2. Step 2: Convert to fraction form
    8.19/13.65 = 13.65/x
  3. Step 3: Cross multiply
    8.19x = 13.65 × 13.65
  4. Step 4: Simplify right side
    8.19x = 186.23
  5. Step 5: Solve for x
    x = 186.23/8.19
  6. Step 6: Final answer
    x = 22.73

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.