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Finding the Third Proportional to 8,044 and 17,059

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Solution

The third proportional to 8,044 and 17,059 is: 36,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044 : 17,059 = 17,059 : x
  2. Step 2: Convert to fraction form
    8,044/17,059 = 17,059/x
  3. Step 3: Cross multiply
    8,044x = 17,059 × 17,059
  4. Step 4: Simplify right side
    8,044x = 291,009,481
  5. Step 5: Solve for x
    x = 291,009,481/8,044
  6. Step 6: Final answer
    x = 36,177.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.