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Finding the Third Proportional to 36,849 and 86,622

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Solution

The third proportional to 36,849 and 86,622 is: 203,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,849 : 86,622 = 86,622 : x
  2. Step 2: Convert to fraction form
    36,849/86,622 = 86,622/x
  3. Step 3: Cross multiply
    36,849x = 86,622 × 86,622
  4. Step 4: Simplify right side
    36,849x = 7,503,370,884
  5. Step 5: Solve for x
    x = 7,503,370,884/36,849
  6. Step 6: Final answer
    x = 203,624.82

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