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Finding the Third Proportional to 10,018 and 22,057

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Solution

The third proportional to 10,018 and 22,057 is: 48,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,018 : 22,057 = 22,057 : x
  2. Step 2: Convert to fraction form
    10,018/22,057 = 22,057/x
  3. Step 3: Cross multiply
    10,018x = 22,057 × 22,057
  4. Step 4: Simplify right side
    10,018x = 486,511,249
  5. Step 5: Solve for x
    x = 486,511,249/10,018
  6. Step 6: Final answer
    x = 48,563.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.