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Finding the Third Proportional to 33,591 and 69,945

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Solution

The third proportional to 33,591 and 69,945 is: 145,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,591 : 69,945 = 69,945 : x
  2. Step 2: Convert to fraction form
    33,591/69,945 = 69,945/x
  3. Step 3: Cross multiply
    33,591x = 69,945 × 69,945
  4. Step 4: Simplify right side
    33,591x = 4,892,303,025
  5. Step 5: Solve for x
    x = 4,892,303,025/33,591
  6. Step 6: Final answer
    x = 145,643.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.