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Finding the Third Proportional to 11,968 and 27,952

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Solution

The third proportional to 11,968 and 27,952 is: 65,283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968 : 27,952 = 27,952 : x
  2. Step 2: Convert to fraction form
    11,968/27,952 = 27,952/x
  3. Step 3: Cross multiply
    11,968x = 27,952 × 27,952
  4. Step 4: Simplify right side
    11,968x = 781,314,304
  5. Step 5: Solve for x
    x = 781,314,304/11,968
  6. Step 6: Final answer
    x = 65,283.61

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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.