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Finding the Third Proportional to 33,016 and 49,804

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Solution

The third proportional to 33,016 and 49,804 is: 75,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,016 : 49,804 = 49,804 : x
  2. Step 2: Convert to fraction form
    33,016/49,804 = 49,804/x
  3. Step 3: Cross multiply
    33,016x = 49,804 × 49,804
  4. Step 4: Simplify right side
    33,016x = 2,480,438,416
  5. Step 5: Solve for x
    x = 2,480,438,416/33,016
  6. Step 6: Final answer
    x = 75,128.37

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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.