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Finding the Third Proportional to 39,843 and 54,137.25

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Solution

The third proportional to 39,843 and 54,137.25 is: 73,559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843 : 54,137.25 = 54,137.25 : x
  2. Step 2: Convert to fraction form
    39,843/54,137.25 = 54,137.25/x
  3. Step 3: Cross multiply
    39,843x = 54,137.25 × 54,137.25
  4. Step 4: Simplify right side
    39,843x = 2,930,841,837.56
  5. Step 5: Solve for x
    x = 2,930,841,837.56/39,843
  6. Step 6: Final answer
    x = 73,559.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.