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Finding the Third Proportional to 33,803.16 and 48,961.97

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Solution

The third proportional to 33,803.16 and 48,961.97 is: 70,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,803.16 : 48,961.97 = 48,961.97 : x
  2. Step 2: Convert to fraction form
    33,803.16/48,961.97 = 48,961.97/x
  3. Step 3: Cross multiply
    33,803.16x = 48,961.97 × 48,961.97
  4. Step 4: Simplify right side
    33,803.16x = 2,397,274,383.88
  5. Step 5: Solve for x
    x = 2,397,274,383.88/33,803.16
  6. Step 6: Final answer
    x = 70,918.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.