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Finding the Third Proportional to 37,881 and 57,975

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Solution

The third proportional to 37,881 and 57,975 is: 88,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 57,975 = 57,975 : x
  2. Step 2: Convert to fraction form
    37,881/57,975 = 57,975/x
  3. Step 3: Cross multiply
    37,881x = 57,975 × 57,975
  4. Step 4: Simplify right side
    37,881x = 3,361,100,625
  5. Step 5: Solve for x
    x = 3,361,100,625/37,881
  6. Step 6: Final answer
    x = 88,727.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.