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Finding the Third Proportional to 18,906.75 and 41,198.63

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Solution

The third proportional to 18,906.75 and 41,198.63 is: 89,773.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.75 : 41,198.63 = 41,198.63 : x
  2. Step 2: Convert to fraction form
    18,906.75/41,198.63 = 41,198.63/x
  3. Step 3: Cross multiply
    18,906.75x = 41,198.63 × 41,198.63
  4. Step 4: Simplify right side
    18,906.75x = 1,697,326,701.89
  5. Step 5: Solve for x
    x = 1,697,326,701.89/18,906.75
  6. Step 6: Final answer
    x = 89,773.58

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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.