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Finding the Third Proportional to 33,997.25 and 47,790.75

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Solution

The third proportional to 33,997.25 and 47,790.75 is: 67,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.25 : 47,790.75 = 47,790.75 : x
  2. Step 2: Convert to fraction form
    33,997.25/47,790.75 = 47,790.75/x
  3. Step 3: Cross multiply
    33,997.25x = 47,790.75 × 47,790.75
  4. Step 4: Simplify right side
    33,997.25x = 2,283,955,785.56
  5. Step 5: Solve for x
    x = 2,283,955,785.56/33,997.25
  6. Step 6: Final answer
    x = 67,180.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.