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Finding the Third Proportional to 37,611 and 78,372.38

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Solution

The third proportional to 37,611 and 78,372.38 is: 163,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611 : 78,372.38 = 78,372.38 : x
  2. Step 2: Convert to fraction form
    37,611/78,372.38 = 78,372.38/x
  3. Step 3: Cross multiply
    37,611x = 78,372.38 × 78,372.38
  4. Step 4: Simplify right side
    37,611x = 6,142,229,163.14
  5. Step 5: Solve for x
    x = 6,142,229,163.14/37,611
  6. Step 6: Final answer
    x = 163,309.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.