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Finding the Third Proportional to 33,766 and 73,292

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Solution

The third proportional to 33,766 and 73,292 is: 159,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,766 : 73,292 = 73,292 : x
  2. Step 2: Convert to fraction form
    33,766/73,292 = 73,292/x
  3. Step 3: Cross multiply
    33,766x = 73,292 × 73,292
  4. Step 4: Simplify right side
    33,766x = 5,371,717,264
  5. Step 5: Solve for x
    x = 5,371,717,264/33,766
  6. Step 6: Final answer
    x = 159,086.57

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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.