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Finding the Third Proportional to 1,812.06 and 3,974.38

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Solution

The third proportional to 1,812.06 and 3,974.38 is: 8,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.06 : 3,974.38 = 3,974.38 : x
  2. Step 2: Convert to fraction form
    1,812.06/3,974.38 = 3,974.38/x
  3. Step 3: Cross multiply
    1,812.06x = 3,974.38 × 3,974.38
  4. Step 4: Simplify right side
    1,812.06x = 15,795,687.69
  5. Step 5: Solve for x
    x = 15,795,687.69/1,812.06
  6. Step 6: Final answer
    x = 8,716.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.