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Finding the Third Proportional to 33,107.50 and 72,404.25

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Solution

The third proportional to 33,107.50 and 72,404.25 is: 158,344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.50 : 72,404.25 = 72,404.25 : x
  2. Step 2: Convert to fraction form
    33,107.50/72,404.25 = 72,404.25/x
  3. Step 3: Cross multiply
    33,107.50x = 72,404.25 × 72,404.25
  4. Step 4: Simplify right side
    33,107.50x = 5,242,375,418.06
  5. Step 5: Solve for x
    x = 5,242,375,418.06/33,107.50
  6. Step 6: Final answer
    x = 158,344.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.