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Finding the Third Proportional to 13,589.73 and 27,561.75

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Solution

The third proportional to 13,589.73 and 27,561.75 is: 55,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,589.73 : 27,561.75 = 27,561.75 : x
  2. Step 2: Convert to fraction form
    13,589.73/27,561.75 = 27,561.75/x
  3. Step 3: Cross multiply
    13,589.73x = 27,561.75 × 27,561.75
  4. Step 4: Simplify right side
    13,589.73x = 759,650,224.56
  5. Step 5: Solve for x
    x = 759,650,224.56/13,589.73
  6. Step 6: Final answer
    x = 55,898.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.