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Finding the Third Proportional to 37,168 and 51,593

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Solution

The third proportional to 37,168 and 51,593 is: 71,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,168 : 51,593 = 51,593 : x
  2. Step 2: Convert to fraction form
    37,168/51,593 = 51,593/x
  3. Step 3: Cross multiply
    37,168x = 51,593 × 51,593
  4. Step 4: Simplify right side
    37,168x = 2,661,837,649
  5. Step 5: Solve for x
    x = 2,661,837,649/37,168
  6. Step 6: Final answer
    x = 71,616.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.