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Finding the Third Proportional to 11,936.50 and 25,997

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Solution

The third proportional to 11,936.50 and 25,997 is: 56,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.50 : 25,997 = 25,997 : x
  2. Step 2: Convert to fraction form
    11,936.50/25,997 = 25,997/x
  3. Step 3: Cross multiply
    11,936.50x = 25,997 × 25,997
  4. Step 4: Simplify right side
    11,936.50x = 675,844,009
  5. Step 5: Solve for x
    x = 675,844,009/11,936.50
  6. Step 6: Final answer
    x = 56,619.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.