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Finding the Third Proportional to 2,112.75 and 3,369.09

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Solution

The third proportional to 2,112.75 and 3,369.09 is: 5,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.75 : 3,369.09 = 3,369.09 : x
  2. Step 2: Convert to fraction form
    2,112.75/3,369.09 = 3,369.09/x
  3. Step 3: Cross multiply
    2,112.75x = 3,369.09 × 3,369.09
  4. Step 4: Simplify right side
    2,112.75x = 11,350,792.70
  5. Step 5: Solve for x
    x = 11,350,792.70/2,112.75
  6. Step 6: Final answer
    x = 5,372.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.