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Finding the Third Proportional to 11,964.38 and 27,943.31

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Solution

The third proportional to 11,964.38 and 27,943.31 is: 65,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.38 : 27,943.31 = 27,943.31 : x
  2. Step 2: Convert to fraction form
    11,964.38/27,943.31 = 27,943.31/x
  3. Step 3: Cross multiply
    11,964.38x = 27,943.31 × 27,943.31
  4. Step 4: Simplify right side
    11,964.38x = 780,828,713.47
  5. Step 5: Solve for x
    x = 780,828,713.47/11,964.38
  6. Step 6: Final answer
    x = 65,262.81

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.