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Finding the Third Proportional to 33,131 and 71,831

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Solution

The third proportional to 33,131 and 71,831 is: 155,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131 : 71,831 = 71,831 : x
  2. Step 2: Convert to fraction form
    33,131/71,831 = 71,831/x
  3. Step 3: Cross multiply
    33,131x = 71,831 × 71,831
  4. Step 4: Simplify right side
    33,131x = 5,159,692,561
  5. Step 5: Solve for x
    x = 5,159,692,561/33,131
  6. Step 6: Final answer
    x = 155,736.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.