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Finding the Third Proportional to 8,589 and 14,917.50

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Solution

The third proportional to 8,589 and 14,917.50 is: 25,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589 : 14,917.50 = 14,917.50 : x
  2. Step 2: Convert to fraction form
    8,589/14,917.50 = 14,917.50/x
  3. Step 3: Cross multiply
    8,589x = 14,917.50 × 14,917.50
  4. Step 4: Simplify right side
    8,589x = 222,531,806.25
  5. Step 5: Solve for x
    x = 222,531,806.25/8,589
  6. Step 6: Final answer
    x = 25,908.93

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.