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Finding the Third Proportional to 33,809 and 72,141

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Solution

The third proportional to 33,809 and 72,141 is: 153,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809 : 72,141 = 72,141 : x
  2. Step 2: Convert to fraction form
    33,809/72,141 = 72,141/x
  3. Step 3: Cross multiply
    33,809x = 72,141 × 72,141
  4. Step 4: Simplify right side
    33,809x = 5,204,323,881
  5. Step 5: Solve for x
    x = 5,204,323,881/33,809
  6. Step 6: Final answer
    x = 153,933.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.