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Finding the Third Proportional to 33,274.50 and 50,258.25

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Solution

The third proportional to 33,274.50 and 50,258.25 is: 75,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.50 : 50,258.25 = 50,258.25 : x
  2. Step 2: Convert to fraction form
    33,274.50/50,258.25 = 50,258.25/x
  3. Step 3: Cross multiply
    33,274.50x = 50,258.25 × 50,258.25
  4. Step 4: Simplify right side
    33,274.50x = 2,525,891,693.06
  5. Step 5: Solve for x
    x = 2,525,891,693.06/33,274.50
  6. Step 6: Final answer
    x = 75,910.73

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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.