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Finding the Third Proportional to 33,462 and 74,305

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Solution

The third proportional to 33,462 and 74,305 is: 165,000.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 74,305 = 74,305 : x
  2. Step 2: Convert to fraction form
    33,462/74,305 = 74,305/x
  3. Step 3: Cross multiply
    33,462x = 74,305 × 74,305
  4. Step 4: Simplify right side
    33,462x = 5,521,233,025
  5. Step 5: Solve for x
    x = 5,521,233,025/33,462
  6. Step 6: Final answer
    x = 165,000.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.