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Finding the Third Proportional to 21,067 and 45,049

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Solution

The third proportional to 21,067 and 45,049 is: 96,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,067 : 45,049 = 45,049 : x
  2. Step 2: Convert to fraction form
    21,067/45,049 = 45,049/x
  3. Step 3: Cross multiply
    21,067x = 45,049 × 45,049
  4. Step 4: Simplify right side
    21,067x = 2,029,412,401
  5. Step 5: Solve for x
    x = 2,029,412,401/21,067
  6. Step 6: Final answer
    x = 96,331.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.