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Finding the Third Proportional to 33,638 and 52,653

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Solution

The third proportional to 33,638 and 52,653 is: 82,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638 : 52,653 = 52,653 : x
  2. Step 2: Convert to fraction form
    33,638/52,653 = 52,653/x
  3. Step 3: Cross multiply
    33,638x = 52,653 × 52,653
  4. Step 4: Simplify right side
    33,638x = 2,772,338,409
  5. Step 5: Solve for x
    x = 2,772,338,409/33,638
  6. Step 6: Final answer
    x = 82,416.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.