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Finding the Third Proportional to 11,961.56 and 27,938.81

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Solution

The third proportional to 11,961.56 and 27,938.81 is: 65,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.56 : 27,938.81 = 27,938.81 : x
  2. Step 2: Convert to fraction form
    11,961.56/27,938.81 = 27,938.81/x
  3. Step 3: Cross multiply
    11,961.56x = 27,938.81 × 27,938.81
  4. Step 4: Simplify right side
    11,961.56x = 780,577,243.91
  5. Step 5: Solve for x
    x = 780,577,243.91/11,961.56
  6. Step 6: Final answer
    x = 65,257.13

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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.