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Finding the Third Proportional to 8,057 and 17,018

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Solution

The third proportional to 8,057 and 17,018 is: 35,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057 : 17,018 = 17,018 : x
  2. Step 2: Convert to fraction form
    8,057/17,018 = 17,018/x
  3. Step 3: Cross multiply
    8,057x = 17,018 × 17,018
  4. Step 4: Simplify right side
    8,057x = 289,612,324
  5. Step 5: Solve for x
    x = 289,612,324/8,057
  6. Step 6: Final answer
    x = 35,945.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.