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Finding the Third Proportional to 38,611.69 and 57,578.34

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Solution

The third proportional to 38,611.69 and 57,578.34 is: 85,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,611.69 : 57,578.34 = 57,578.34 : x
  2. Step 2: Convert to fraction form
    38,611.69/57,578.34 = 57,578.34/x
  3. Step 3: Cross multiply
    38,611.69x = 57,578.34 × 57,578.34
  4. Step 4: Simplify right side
    38,611.69x = 3,315,265,668.99
  5. Step 5: Solve for x
    x = 3,315,265,668.99/38,611.69
  6. Step 6: Final answer
    x = 85,861.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.