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Finding the Third Proportional to 13,589 and 29,850.50

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Solution

The third proportional to 13,589 and 29,850.50 is: 65,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589 : 29,850.50 = 29,850.50 : x
  2. Step 2: Convert to fraction form
    13,589/29,850.50 = 29,850.50/x
  3. Step 3: Cross multiply
    13,589x = 29,850.50 × 29,850.50
  4. Step 4: Simplify right side
    13,589x = 891,052,350.25
  5. Step 5: Solve for x
    x = 891,052,350.25/13,589
  6. Step 6: Final answer
    x = 65,571.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.