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Finding the Third Proportional to 37,881 and 57,609

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Solution

The third proportional to 37,881 and 57,609 is: 87,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 57,609 = 57,609 : x
  2. Step 2: Convert to fraction form
    37,881/57,609 = 57,609/x
  3. Step 3: Cross multiply
    37,881x = 57,609 × 57,609
  4. Step 4: Simplify right side
    37,881x = 3,318,796,881
  5. Step 5: Solve for x
    x = 3,318,796,881/37,881
  6. Step 6: Final answer
    x = 87,611.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.