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Finding the Third Proportional to 8,037 and 17,693

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Solution

The third proportional to 8,037 and 17,693 is: 38,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 17,693 = 17,693 : x
  2. Step 2: Convert to fraction form
    8,037/17,693 = 17,693/x
  3. Step 3: Cross multiply
    8,037x = 17,693 × 17,693
  4. Step 4: Simplify right side
    8,037x = 313,042,249
  5. Step 5: Solve for x
    x = 313,042,249/8,037
  6. Step 6: Final answer
    x = 38,950.14

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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.