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Finding the Third Proportional to 36,850.50 and 86,621

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Solution

The third proportional to 36,850.50 and 86,621 is: 203,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,850.50 : 86,621 = 86,621 : x
  2. Step 2: Convert to fraction form
    36,850.50/86,621 = 86,621/x
  3. Step 3: Cross multiply
    36,850.50x = 86,621 × 86,621
  4. Step 4: Simplify right side
    36,850.50x = 7,503,197,641
  5. Step 5: Solve for x
    x = 7,503,197,641/36,850.50
  6. Step 6: Final answer
    x = 203,611.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.