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Finding the Third Proportional to 15,794 and 33,977

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Solution

The third proportional to 15,794 and 33,977 is: 73,093.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794 : 33,977 = 33,977 : x
  2. Step 2: Convert to fraction form
    15,794/33,977 = 33,977/x
  3. Step 3: Cross multiply
    15,794x = 33,977 × 33,977
  4. Step 4: Simplify right side
    15,794x = 1,154,436,529
  5. Step 5: Solve for x
    x = 1,154,436,529/15,794
  6. Step 6: Final answer
    x = 73,093.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.