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Finding the Third Proportional to 37,868 and 80,593

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Solution

The third proportional to 37,868 and 80,593 is: 171,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,868 : 80,593 = 80,593 : x
  2. Step 2: Convert to fraction form
    37,868/80,593 = 80,593/x
  3. Step 3: Cross multiply
    37,868x = 80,593 × 80,593
  4. Step 4: Simplify right side
    37,868x = 6,495,231,649
  5. Step 5: Solve for x
    x = 6,495,231,649/37,868
  6. Step 6: Final answer
    x = 171,522.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.