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Finding the Third Proportional to 11,963.63 and 27,942.75

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Solution

The third proportional to 11,963.63 and 27,942.75 is: 65,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.63 : 27,942.75 = 27,942.75 : x
  2. Step 2: Convert to fraction form
    11,963.63/27,942.75 = 27,942.75/x
  3. Step 3: Cross multiply
    11,963.63x = 27,942.75 × 27,942.75
  4. Step 4: Simplify right side
    11,963.63x = 780,797,277.56
  5. Step 5: Solve for x
    x = 780,797,277.56/11,963.63
  6. Step 6: Final answer
    x = 65,264.27

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Why These Related Problems?

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