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Finding the Third Proportional to 18,838.50 and 40,593

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Solution

The third proportional to 18,838.50 and 40,593 is: 87,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,838.50 : 40,593 = 40,593 : x
  2. Step 2: Convert to fraction form
    18,838.50/40,593 = 40,593/x
  3. Step 3: Cross multiply
    18,838.50x = 40,593 × 40,593
  4. Step 4: Simplify right side
    18,838.50x = 1,647,791,649
  5. Step 5: Solve for x
    x = 1,647,791,649/18,838.50
  6. Step 6: Final answer
    x = 87,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.