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Finding the Third Proportional to 11,963 and 27,942.50

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Solution

The third proportional to 11,963 and 27,942.50 is: 65,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963 : 27,942.50 = 27,942.50 : x
  2. Step 2: Convert to fraction form
    11,963/27,942.50 = 27,942.50/x
  3. Step 3: Cross multiply
    11,963x = 27,942.50 × 27,942.50
  4. Step 4: Simplify right side
    11,963x = 780,783,306.25
  5. Step 5: Solve for x
    x = 780,783,306.25/11,963
  6. Step 6: Final answer
    x = 65,266.51

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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.