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Finding the Third Proportional to 33,669 and 73,233

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Solution

The third proportional to 33,669 and 73,233 is: 159,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,669 : 73,233 = 73,233 : x
  2. Step 2: Convert to fraction form
    33,669/73,233 = 73,233/x
  3. Step 3: Cross multiply
    33,669x = 73,233 × 73,233
  4. Step 4: Simplify right side
    33,669x = 5,363,072,289
  5. Step 5: Solve for x
    x = 5,363,072,289/33,669
  6. Step 6: Final answer
    x = 159,288.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.