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Finding the Third Proportional to 33,107 and 75,638

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Solution

The third proportional to 33,107 and 75,638 is: 172,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107 : 75,638 = 75,638 : x
  2. Step 2: Convert to fraction form
    33,107/75,638 = 75,638/x
  3. Step 3: Cross multiply
    33,107x = 75,638 × 75,638
  4. Step 4: Simplify right side
    33,107x = 5,721,107,044
  5. Step 5: Solve for x
    x = 5,721,107,044/33,107
  6. Step 6: Final answer
    x = 172,806.57

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.