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Finding the Third Proportional to 22,018 and 48,002

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Solution

The third proportional to 22,018 and 48,002 is: 104,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018 : 48,002 = 48,002 : x
  2. Step 2: Convert to fraction form
    22,018/48,002 = 48,002/x
  3. Step 3: Cross multiply
    22,018x = 48,002 × 48,002
  4. Step 4: Simplify right side
    22,018x = 2,304,192,004
  5. Step 5: Solve for x
    x = 2,304,192,004/22,018
  6. Step 6: Final answer
    x = 104,650.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.