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Finding the Third Proportional to 33,294 and 71,529

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Solution

The third proportional to 33,294 and 71,529 is: 153,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,294 : 71,529 = 71,529 : x
  2. Step 2: Convert to fraction form
    33,294/71,529 = 71,529/x
  3. Step 3: Cross multiply
    33,294x = 71,529 × 71,529
  4. Step 4: Simplify right side
    33,294x = 5,116,397,841
  5. Step 5: Solve for x
    x = 5,116,397,841/33,294
  6. Step 6: Final answer
    x = 153,673.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.