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Finding the Third Proportional to 33,131 and 70,727

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Solution

The third proportional to 33,131 and 70,727 is: 150,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131 : 70,727 = 70,727 : x
  2. Step 2: Convert to fraction form
    33,131/70,727 = 70,727/x
  3. Step 3: Cross multiply
    33,131x = 70,727 × 70,727
  4. Step 4: Simplify right side
    33,131x = 5,002,308,529
  5. Step 5: Solve for x
    x = 5,002,308,529/33,131
  6. Step 6: Final answer
    x = 150,985.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.