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Finding the Third Proportional to 33,126 and 69,672

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Solution

The third proportional to 33,126 and 69,672 is: 146,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,126 : 69,672 = 69,672 : x
  2. Step 2: Convert to fraction form
    33,126/69,672 = 69,672/x
  3. Step 3: Cross multiply
    33,126x = 69,672 × 69,672
  4. Step 4: Simplify right side
    33,126x = 4,854,187,584
  5. Step 5: Solve for x
    x = 4,854,187,584/33,126
  6. Step 6: Final answer
    x = 146,537.09

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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.