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Finding the Third Proportional to 19,333 and 42,401

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Solution

The third proportional to 19,333 and 42,401 is: 92,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,333 : 42,401 = 42,401 : x
  2. Step 2: Convert to fraction form
    19,333/42,401 = 42,401/x
  3. Step 3: Cross multiply
    19,333x = 42,401 × 42,401
  4. Step 4: Simplify right side
    19,333x = 1,797,844,801
  5. Step 5: Solve for x
    x = 1,797,844,801/19,333
  6. Step 6: Final answer
    x = 92,993.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.