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Finding the Third Proportional to 28.69 and 37.27

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Solution

The third proportional to 28.69 and 37.27 is: 48.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.69 : 37.27 = 37.27 : x
  2. Step 2: Convert to fraction form
    28.69/37.27 = 37.27/x
  3. Step 3: Cross multiply
    28.69x = 37.27 × 37.27
  4. Step 4: Simplify right side
    28.69x = 1,388.73
  5. Step 5: Solve for x
    x = 1,388.73/28.69
  6. Step 6: Final answer
    x = 48.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.