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Finding the Third Proportional to 33,272 and 72,796

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Solution

The third proportional to 33,272 and 72,796 is: 159,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272 : 72,796 = 72,796 : x
  2. Step 2: Convert to fraction form
    33,272/72,796 = 72,796/x
  3. Step 3: Cross multiply
    33,272x = 72,796 × 72,796
  4. Step 4: Simplify right side
    33,272x = 5,299,257,616
  5. Step 5: Solve for x
    x = 5,299,257,616/33,272
  6. Step 6: Final answer
    x = 159,270.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.