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Finding the Third Proportional to 18,974.25 and 41,228.75

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Solution

The third proportional to 18,974.25 and 41,228.75 is: 89,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.25 : 41,228.75 = 41,228.75 : x
  2. Step 2: Convert to fraction form
    18,974.25/41,228.75 = 41,228.75/x
  3. Step 3: Cross multiply
    18,974.25x = 41,228.75 × 41,228.75
  4. Step 4: Simplify right side
    18,974.25x = 1,699,809,826.56
  5. Step 5: Solve for x
    x = 1,699,809,826.56/18,974.25
  6. Step 6: Final answer
    x = 89,585.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.