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Finding the Third Proportional to 33,051 and 68,837

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Solution

The third proportional to 33,051 and 68,837 is: 143,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051 : 68,837 = 68,837 : x
  2. Step 2: Convert to fraction form
    33,051/68,837 = 68,837/x
  3. Step 3: Cross multiply
    33,051x = 68,837 × 68,837
  4. Step 4: Simplify right side
    33,051x = 4,738,532,569
  5. Step 5: Solve for x
    x = 4,738,532,569/33,051
  6. Step 6: Final answer
    x = 143,370.32

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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.