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Finding the Third Proportional to 21,144.38 and 33,481.69

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Solution

The third proportional to 21,144.38 and 33,481.69 is: 53,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.38 : 33,481.69 = 33,481.69 : x
  2. Step 2: Convert to fraction form
    21,144.38/33,481.69 = 33,481.69/x
  3. Step 3: Cross multiply
    21,144.38x = 33,481.69 × 33,481.69
  4. Step 4: Simplify right side
    21,144.38x = 1,121,023,397.85
  5. Step 5: Solve for x
    x = 1,121,023,397.85/21,144.38
  6. Step 6: Final answer
    x = 53,017.57

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.