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Finding the Third Proportional to 33,963.75 and 74,657.25

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Solution

The third proportional to 33,963.75 and 74,657.25 is: 164,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.75 : 74,657.25 = 74,657.25 : x
  2. Step 2: Convert to fraction form
    33,963.75/74,657.25 = 74,657.25/x
  3. Step 3: Cross multiply
    33,963.75x = 74,657.25 × 74,657.25
  4. Step 4: Simplify right side
    33,963.75x = 5,573,704,977.56
  5. Step 5: Solve for x
    x = 5,573,704,977.56/33,963.75
  6. Step 6: Final answer
    x = 164,107.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.