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Finding the Third Proportional to 33,802 and 75,368

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Solution

The third proportional to 33,802 and 75,368 is: 168,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,802 : 75,368 = 75,368 : x
  2. Step 2: Convert to fraction form
    33,802/75,368 = 75,368/x
  3. Step 3: Cross multiply
    33,802x = 75,368 × 75,368
  4. Step 4: Simplify right side
    33,802x = 5,680,335,424
  5. Step 5: Solve for x
    x = 5,680,335,424/33,802
  6. Step 6: Final answer
    x = 168,047.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.