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Finding the Third Proportional to 18,504 and 27,744.75

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Solution

The third proportional to 18,504 and 27,744.75 is: 41,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504 : 27,744.75 = 27,744.75 : x
  2. Step 2: Convert to fraction form
    18,504/27,744.75 = 27,744.75/x
  3. Step 3: Cross multiply
    18,504x = 27,744.75 × 27,744.75
  4. Step 4: Simplify right side
    18,504x = 769,771,152.56
  5. Step 5: Solve for x
    x = 769,771,152.56/18,504
  6. Step 6: Final answer
    x = 41,600.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.