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Finding the Third Proportional to 17,589 and 27,850.50

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Solution

The third proportional to 17,589 and 27,850.50 is: 44,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589 : 27,850.50 = 27,850.50 : x
  2. Step 2: Convert to fraction form
    17,589/27,850.50 = 27,850.50/x
  3. Step 3: Cross multiply
    17,589x = 27,850.50 × 27,850.50
  4. Step 4: Simplify right side
    17,589x = 775,650,350.25
  5. Step 5: Solve for x
    x = 775,650,350.25/17,589
  6. Step 6: Final answer
    x = 44,098.60

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.