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Finding the Third Proportional to 18,991 and 41,627.25

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Solution

The third proportional to 18,991 and 41,627.25 is: 91,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,991 : 41,627.25 = 41,627.25 : x
  2. Step 2: Convert to fraction form
    18,991/41,627.25 = 41,627.25/x
  3. Step 3: Cross multiply
    18,991x = 41,627.25 × 41,627.25
  4. Step 4: Simplify right side
    18,991x = 1,732,827,942.56
  5. Step 5: Solve for x
    x = 1,732,827,942.56/18,991
  6. Step 6: Final answer
    x = 91,244.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.