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Finding the Third Proportional to 22,067 and 52,048

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Solution

The third proportional to 22,067 and 52,048 is: 122,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,067 : 52,048 = 52,048 : x
  2. Step 2: Convert to fraction form
    22,067/52,048 = 52,048/x
  3. Step 3: Cross multiply
    22,067x = 52,048 × 52,048
  4. Step 4: Simplify right side
    22,067x = 2,708,994,304
  5. Step 5: Solve for x
    x = 2,708,994,304/22,067
  6. Step 6: Final answer
    x = 122,762.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.