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Finding the Third Proportional to 8,589 and 18,100.13

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Solution

The third proportional to 8,589 and 18,100.13 is: 38,143.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 18,100.13 = 18,100.13 : x
  2. Step 2: Convert to fraction form
    8,589/18,100.13 = 18,100.13/x
  3. Step 3: Cross multiply
    8,589x = 18,100.13 × 18,100.13
  4. Step 4: Simplify right side
    8,589x = 327,614,525.02
  5. Step 5: Solve for x
    x = 327,614,525.02/8,589
  6. Step 6: Final answer
    x = 38,143.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.