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Finding the Third Proportional to 33,256.75 and 50,230.25

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Solution

The third proportional to 33,256.75 and 50,230.25 is: 75,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,256.75 : 50,230.25 = 50,230.25 : x
  2. Step 2: Convert to fraction form
    33,256.75/50,230.25 = 50,230.25/x
  3. Step 3: Cross multiply
    33,256.75x = 50,230.25 × 50,230.25
  4. Step 4: Simplify right side
    33,256.75x = 2,523,078,015.06
  5. Step 5: Solve for x
    x = 2,523,078,015.06/33,256.75
  6. Step 6: Final answer
    x = 75,866.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.