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Finding the Third Proportional to 39,997.50 and 60,249

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Solution

The third proportional to 39,997.50 and 60,249 is: 90,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,997.50 : 60,249 = 60,249 : x
  2. Step 2: Convert to fraction form
    39,997.50/60,249 = 60,249/x
  3. Step 3: Cross multiply
    39,997.50x = 60,249 × 60,249
  4. Step 4: Simplify right side
    39,997.50x = 3,629,942,001
  5. Step 5: Solve for x
    x = 3,629,942,001/39,997.50
  6. Step 6: Final answer
    x = 90,754.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.