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Finding the Third Proportional to 10,057 and 21,449

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Solution

The third proportional to 10,057 and 21,449 is: 45,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057 : 21,449 = 21,449 : x
  2. Step 2: Convert to fraction form
    10,057/21,449 = 21,449/x
  3. Step 3: Cross multiply
    10,057x = 21,449 × 21,449
  4. Step 4: Simplify right side
    10,057x = 460,059,601
  5. Step 5: Solve for x
    x = 460,059,601/10,057
  6. Step 6: Final answer
    x = 45,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.