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Finding the Third Proportional to 8,589 and 12,253.50

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Solution

The third proportional to 8,589 and 12,253.50 is: 17,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 12,253.50 = 12,253.50 : x
  2. Step 2: Convert to fraction form
    8,589/12,253.50 = 12,253.50/x
  3. Step 3: Cross multiply
    8,589x = 12,253.50 × 12,253.50
  4. Step 4: Simplify right side
    8,589x = 150,148,262.25
  5. Step 5: Solve for x
    x = 150,148,262.25/8,589
  6. Step 6: Final answer
    x = 17,481.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.