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Finding the Third Proportional to 33,809 and 52,628

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Solution

The third proportional to 33,809 and 52,628 is: 81,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809 : 52,628 = 52,628 : x
  2. Step 2: Convert to fraction form
    33,809/52,628 = 52,628/x
  3. Step 3: Cross multiply
    33,809x = 52,628 × 52,628
  4. Step 4: Simplify right side
    33,809x = 2,769,706,384
  5. Step 5: Solve for x
    x = 2,769,706,384/33,809
  6. Step 6: Final answer
    x = 81,922.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.