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Finding the Third Proportional to 33,805 and 73,334

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Solution

The third proportional to 33,805 and 73,334 is: 159,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805 : 73,334 = 73,334 : x
  2. Step 2: Convert to fraction form
    33,805/73,334 = 73,334/x
  3. Step 3: Cross multiply
    33,805x = 73,334 × 73,334
  4. Step 4: Simplify right side
    33,805x = 5,377,875,556
  5. Step 5: Solve for x
    x = 5,377,875,556/33,805
  6. Step 6: Final answer
    x = 159,085.21

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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.