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Finding the Third Proportional to 33,963.75 and 71,025.75

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Solution

The third proportional to 33,963.75 and 71,025.75 is: 148,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.75 : 71,025.75 = 71,025.75 : x
  2. Step 2: Convert to fraction form
    33,963.75/71,025.75 = 71,025.75/x
  3. Step 3: Cross multiply
    33,963.75x = 71,025.75 × 71,025.75
  4. Step 4: Simplify right side
    33,963.75x = 5,044,657,163.06
  5. Step 5: Solve for x
    x = 5,044,657,163.06/33,963.75
  6. Step 6: Final answer
    x = 148,530.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.