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Finding the Third Proportional to 33,640.31 and 52,237.41

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Solution

The third proportional to 33,640.31 and 52,237.41 is: 81,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640.31 : 52,237.41 = 52,237.41 : x
  2. Step 2: Convert to fraction form
    33,640.31/52,237.41 = 52,237.41/x
  3. Step 3: Cross multiply
    33,640.31x = 52,237.41 × 52,237.41
  4. Step 4: Simplify right side
    33,640.31x = 2,728,746,611.73
  5. Step 5: Solve for x
    x = 2,728,746,611.73/33,640.31
  6. Step 6: Final answer
    x = 81,115.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.