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Finding the Third Proportional to 33,774 and 74,031

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Solution

The third proportional to 33,774 and 74,031 is: 162,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774 : 74,031 = 74,031 : x
  2. Step 2: Convert to fraction form
    33,774/74,031 = 74,031/x
  3. Step 3: Cross multiply
    33,774x = 74,031 × 74,031
  4. Step 4: Simplify right side
    33,774x = 5,480,588,961
  5. Step 5: Solve for x
    x = 5,480,588,961/33,774
  6. Step 6: Final answer
    x = 162,272.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.