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Finding the Third Proportional to 33,009 and 49,863

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Solution

The third proportional to 33,009 and 49,863 is: 75,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009 : 49,863 = 49,863 : x
  2. Step 2: Convert to fraction form
    33,009/49,863 = 49,863/x
  3. Step 3: Cross multiply
    33,009x = 49,863 × 49,863
  4. Step 4: Simplify right side
    33,009x = 2,486,318,769
  5. Step 5: Solve for x
    x = 2,486,318,769/33,009
  6. Step 6: Final answer
    x = 75,322.45

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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.