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Finding the Third Proportional to 33,114 and 50,099

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Solution

The third proportional to 33,114 and 50,099 is: 75,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114 : 50,099 = 50,099 : x
  2. Step 2: Convert to fraction form
    33,114/50,099 = 50,099/x
  3. Step 3: Cross multiply
    33,114x = 50,099 × 50,099
  4. Step 4: Simplify right side
    33,114x = 2,509,909,801
  5. Step 5: Solve for x
    x = 2,509,909,801/33,114
  6. Step 6: Final answer
    x = 75,796.03

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Why These Related Problems?

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