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Finding the Third Proportional to 21,787 and 33,503

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Solution

The third proportional to 21,787 and 33,503 is: 51,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787 : 33,503 = 33,503 : x
  2. Step 2: Convert to fraction form
    21,787/33,503 = 33,503/x
  3. Step 3: Cross multiply
    21,787x = 33,503 × 33,503
  4. Step 4: Simplify right side
    21,787x = 1,122,451,009
  5. Step 5: Solve for x
    x = 1,122,451,009/21,787
  6. Step 6: Final answer
    x = 51,519.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.