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Finding the Third Proportional to 21,884 and 33,006

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Solution

The third proportional to 21,884 and 33,006 is: 49,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884 : 33,006 = 33,006 : x
  2. Step 2: Convert to fraction form
    21,884/33,006 = 33,006/x
  3. Step 3: Cross multiply
    21,884x = 33,006 × 33,006
  4. Step 4: Simplify right side
    21,884x = 1,089,396,036
  5. Step 5: Solve for x
    x = 1,089,396,036/21,884
  6. Step 6: Final answer
    x = 49,780.48

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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.