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Finding the Third Proportional to 18,942.75 and 41,204.25

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Solution

The third proportional to 18,942.75 and 41,204.25 is: 89,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942.75 : 41,204.25 = 41,204.25 : x
  2. Step 2: Convert to fraction form
    18,942.75/41,204.25 = 41,204.25/x
  3. Step 3: Cross multiply
    18,942.75x = 41,204.25 × 41,204.25
  4. Step 4: Simplify right side
    18,942.75x = 1,697,790,218.06
  5. Step 5: Solve for x
    x = 1,697,790,218.06/18,942.75
  6. Step 6: Final answer
    x = 89,627.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.