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Finding the Third Proportional to 1,819.97 and 3,912.05

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Solution

The third proportional to 1,819.97 and 3,912.05 is: 8,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.97 : 3,912.05 = 3,912.05 : x
  2. Step 2: Convert to fraction form
    1,819.97/3,912.05 = 3,912.05/x
  3. Step 3: Cross multiply
    1,819.97x = 3,912.05 × 3,912.05
  4. Step 4: Simplify right side
    1,819.97x = 15,304,110.75
  5. Step 5: Solve for x
    x = 15,304,110.75/1,819.97
  6. Step 6: Final answer
    x = 8,409.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.