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Finding the Third Proportional to 21,899 and 33,977

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Solution

The third proportional to 21,899 and 33,977 is: 52,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,899 : 33,977 = 33,977 : x
  2. Step 2: Convert to fraction form
    21,899/33,977 = 33,977/x
  3. Step 3: Cross multiply
    21,899x = 33,977 × 33,977
  4. Step 4: Simplify right side
    21,899x = 1,154,436,529
  5. Step 5: Solve for x
    x = 1,154,436,529/21,899
  6. Step 6: Final answer
    x = 52,716.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.