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Finding the Third Proportional to 33,163 and 69,530

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Solution

The third proportional to 33,163 and 69,530 is: 145,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163 : 69,530 = 69,530 : x
  2. Step 2: Convert to fraction form
    33,163/69,530 = 69,530/x
  3. Step 3: Cross multiply
    33,163x = 69,530 × 69,530
  4. Step 4: Simplify right side
    33,163x = 4,834,420,900
  5. Step 5: Solve for x
    x = 4,834,420,900/33,163
  6. Step 6: Final answer
    x = 145,777.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.