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Finding the Third Proportional to 11,945.81 and 18,974.25

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Solution

The third proportional to 11,945.81 and 18,974.25 is: 30,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.81 : 18,974.25 = 18,974.25 : x
  2. Step 2: Convert to fraction form
    11,945.81/18,974.25 = 18,974.25/x
  3. Step 3: Cross multiply
    11,945.81x = 18,974.25 × 18,974.25
  4. Step 4: Simplify right side
    11,945.81x = 360,022,163.06
  5. Step 5: Solve for x
    x = 360,022,163.06/11,945.81
  6. Step 6: Final answer
    x = 30,137.94

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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.