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Finding the Third Proportional to 33,690.94 and 52,847.44

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Solution

The third proportional to 33,690.94 and 52,847.44 is: 82,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690.94 : 52,847.44 = 52,847.44 : x
  2. Step 2: Convert to fraction form
    33,690.94/52,847.44 = 52,847.44/x
  3. Step 3: Cross multiply
    33,690.94x = 52,847.44 × 52,847.44
  4. Step 4: Simplify right side
    33,690.94x = 2,792,851,650.32
  5. Step 5: Solve for x
    x = 2,792,851,650.32/33,690.94
  6. Step 6: Final answer
    x = 82,896.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.