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Finding the Third Proportional to 37,936.50 and 57,027

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Solution

The third proportional to 37,936.50 and 57,027 is: 85,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,936.50 : 57,027 = 57,027 : x
  2. Step 2: Convert to fraction form
    37,936.50/57,027 = 57,027/x
  3. Step 3: Cross multiply
    37,936.50x = 57,027 × 57,027
  4. Step 4: Simplify right side
    37,936.50x = 3,252,078,729
  5. Step 5: Solve for x
    x = 3,252,078,729/37,936.50
  6. Step 6: Final answer
    x = 85,724.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.