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Finding the Third Proportional to 33,265 and 49,893.50

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Solution

The third proportional to 33,265 and 49,893.50 is: 74,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,265 : 49,893.50 = 49,893.50 : x
  2. Step 2: Convert to fraction form
    33,265/49,893.50 = 49,893.50/x
  3. Step 3: Cross multiply
    33,265x = 49,893.50 × 49,893.50
  4. Step 4: Simplify right side
    33,265x = 2,489,361,342.25
  5. Step 5: Solve for x
    x = 2,489,361,342.25/33,265
  6. Step 6: Final answer
    x = 74,834.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.