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Finding the Third Proportional to 27,912 and 39,126

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Solution

The third proportional to 27,912 and 39,126 is: 54,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,912 : 39,126 = 39,126 : x
  2. Step 2: Convert to fraction form
    27,912/39,126 = 39,126/x
  3. Step 3: Cross multiply
    27,912x = 39,126 × 39,126
  4. Step 4: Simplify right side
    27,912x = 1,530,843,876
  5. Step 5: Solve for x
    x = 1,530,843,876/27,912
  6. Step 6: Final answer
    x = 54,845.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.