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Finding the Third Proportional to 33,306 and 71,349

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Solution

The third proportional to 33,306 and 71,349 is: 152,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,306 : 71,349 = 71,349 : x
  2. Step 2: Convert to fraction form
    33,306/71,349 = 71,349/x
  3. Step 3: Cross multiply
    33,306x = 71,349 × 71,349
  4. Step 4: Simplify right side
    33,306x = 5,090,679,801
  5. Step 5: Solve for x
    x = 5,090,679,801/33,306
  6. Step 6: Final answer
    x = 152,845.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.