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Finding the Third Proportional to 17.65 and 26.47

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Solution

The third proportional to 17.65 and 26.47 is: 39.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.65 : 26.47 = 26.47 : x
  2. Step 2: Convert to fraction form
    17.65/26.47 = 26.47/x
  3. Step 3: Cross multiply
    17.65x = 26.47 × 26.47
  4. Step 4: Simplify right side
    17.65x = 700.80
  5. Step 5: Solve for x
    x = 700.80/17.65
  6. Step 6: Final answer
    x = 39.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.