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Finding the Third Proportional to 2,241.50 and 3,481.75

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Solution

The third proportional to 2,241.50 and 3,481.75 is: 5,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.50 : 3,481.75 = 3,481.75 : x
  2. Step 2: Convert to fraction form
    2,241.50/3,481.75 = 3,481.75/x
  3. Step 3: Cross multiply
    2,241.50x = 3,481.75 × 3,481.75
  4. Step 4: Simplify right side
    2,241.50x = 12,122,583.06
  5. Step 5: Solve for x
    x = 12,122,583.06/2,241.50
  6. Step 6: Final answer
    x = 5,408.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.