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Finding the Third Proportional to 1,912.78 and 2,833.31

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Solution

The third proportional to 1,912.78 and 2,833.31 is: 4,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.78 : 2,833.31 = 2,833.31 : x
  2. Step 2: Convert to fraction form
    1,912.78/2,833.31 = 2,833.31/x
  3. Step 3: Cross multiply
    1,912.78x = 2,833.31 × 2,833.31
  4. Step 4: Simplify right side
    1,912.78x = 8,027,659.72
  5. Step 5: Solve for x
    x = 8,027,659.72/1,912.78
  6. Step 6: Final answer
    x = 4,196.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.