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Finding the Third Proportional to 17,021 and 36,508

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Solution

The third proportional to 17,021 and 36,508 is: 78,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,021 : 36,508 = 36,508 : x
  2. Step 2: Convert to fraction form
    17,021/36,508 = 36,508/x
  3. Step 3: Cross multiply
    17,021x = 36,508 × 36,508
  4. Step 4: Simplify right side
    17,021x = 1,332,834,064
  5. Step 5: Solve for x
    x = 1,332,834,064/17,021
  6. Step 6: Final answer
    x = 78,305.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.