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Finding the Third Proportional to 21,180 and 33,027

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Solution

The third proportional to 21,180 and 33,027 is: 51,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180 : 33,027 = 33,027 : x
  2. Step 2: Convert to fraction form
    21,180/33,027 = 33,027/x
  3. Step 3: Cross multiply
    21,180x = 33,027 × 33,027
  4. Step 4: Simplify right side
    21,180x = 1,090,782,729
  5. Step 5: Solve for x
    x = 1,090,782,729/21,180
  6. Step 6: Final answer
    x = 51,500.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.