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Finding the Third Proportional to 2,093.25 and 3,166.75

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Solution

The third proportional to 2,093.25 and 3,166.75 is: 4,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.25 : 3,166.75 = 3,166.75 : x
  2. Step 2: Convert to fraction form
    2,093.25/3,166.75 = 3,166.75/x
  3. Step 3: Cross multiply
    2,093.25x = 3,166.75 × 3,166.75
  4. Step 4: Simplify right side
    2,093.25x = 10,028,305.56
  5. Step 5: Solve for x
    x = 10,028,305.56/2,093.25
  6. Step 6: Final answer
    x = 4,790.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.