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Finding the Third Proportional to 36,593 and 76,057

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Solution

The third proportional to 36,593 and 76,057 is: 158,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,593 : 76,057 = 76,057 : x
  2. Step 2: Convert to fraction form
    36,593/76,057 = 76,057/x
  3. Step 3: Cross multiply
    36,593x = 76,057 × 76,057
  4. Step 4: Simplify right side
    36,593x = 5,784,667,249
  5. Step 5: Solve for x
    x = 5,784,667,249/36,593
  6. Step 6: Final answer
    x = 158,081.25

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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.