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Finding the Third Proportional to 28.41 and 44.09

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Solution

The third proportional to 28.41 and 44.09 is: 68.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.41 : 44.09 = 44.09 : x
  2. Step 2: Convert to fraction form
    28.41/44.09 = 44.09/x
  3. Step 3: Cross multiply
    28.41x = 44.09 × 44.09
  4. Step 4: Simplify right side
    28.41x = 1,943.57
  5. Step 5: Solve for x
    x = 1,943.57/28.41
  6. Step 6: Final answer
    x = 68.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.