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Finding the Third Proportional to 8.09 and 17.65

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Solution

The third proportional to 8.09 and 17.65 is: 38.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.09 : 17.65 = 17.65 : x
  2. Step 2: Convert to fraction form
    8.09/17.65 = 17.65/x
  3. Step 3: Cross multiply
    8.09x = 17.65 × 17.65
  4. Step 4: Simplify right side
    8.09x = 311.47
  5. Step 5: Solve for x
    x = 311.47/8.09
  6. Step 6: Final answer
    x = 38.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.