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Finding the Third Proportional to 18.25 and 44.19

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Solution

The third proportional to 18.25 and 44.19 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.25 : 44.19 = 44.19 : x
  2. Step 2: Convert to fraction form
    18.25/44.19 = 44.19/x
  3. Step 3: Cross multiply
    18.25x = 44.19 × 44.19
  4. Step 4: Simplify right side
    18.25x = 1,952.54
  5. Step 5: Solve for x
    x = 1,952.54/18.25
  6. Step 6: Final answer
    x = 106.99

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.