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Finding the Third Proportional to 33,105 and 75,633

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Solution

The third proportional to 33,105 and 75,633 is: 172,794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105 : 75,633 = 75,633 : x
  2. Step 2: Convert to fraction form
    33,105/75,633 = 75,633/x
  3. Step 3: Cross multiply
    33,105x = 75,633 × 75,633
  4. Step 4: Simplify right side
    33,105x = 5,720,350,689
  5. Step 5: Solve for x
    x = 5,720,350,689/33,105
  6. Step 6: Final answer
    x = 172,794.16

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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.