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Finding the Third Proportional to 8,453.44 and 18,364.78

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Solution

The third proportional to 8,453.44 and 18,364.78 is: 39,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.44 : 18,364.78 = 18,364.78 : x
  2. Step 2: Convert to fraction form
    8,453.44/18,364.78 = 18,364.78/x
  3. Step 3: Cross multiply
    8,453.44x = 18,364.78 × 18,364.78
  4. Step 4: Simplify right side
    8,453.44x = 337,265,190.36
  5. Step 5: Solve for x
    x = 337,265,190.36/8,453.44
  6. Step 6: Final answer
    x = 39,896.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.