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Finding the Third Proportional to 33,293 and 75,821

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Solution

The third proportional to 33,293 and 75,821 is: 172,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,293 : 75,821 = 75,821 : x
  2. Step 2: Convert to fraction form
    33,293/75,821 = 75,821/x
  3. Step 3: Cross multiply
    33,293x = 75,821 × 75,821
  4. Step 4: Simplify right side
    33,293x = 5,748,824,041
  5. Step 5: Solve for x
    x = 5,748,824,041/33,293
  6. Step 6: Final answer
    x = 172,673.66

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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.