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Finding the Third Proportional to 33,616 and 50,838

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Solution

The third proportional to 33,616 and 50,838 is: 76,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,616 : 50,838 = 50,838 : x
  2. Step 2: Convert to fraction form
    33,616/50,838 = 50,838/x
  3. Step 3: Cross multiply
    33,616x = 50,838 × 50,838
  4. Step 4: Simplify right side
    33,616x = 2,584,502,244
  5. Step 5: Solve for x
    x = 2,584,502,244/33,616
  6. Step 6: Final answer
    x = 76,883.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.