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Finding the Third Proportional to 8,138 and 17,950

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Solution

The third proportional to 8,138 and 17,950 is: 39,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 17,950 = 17,950 : x
  2. Step 2: Convert to fraction form
    8,138/17,950 = 17,950/x
  3. Step 3: Cross multiply
    8,138x = 17,950 × 17,950
  4. Step 4: Simplify right side
    8,138x = 322,202,500
  5. Step 5: Solve for x
    x = 322,202,500/8,138
  6. Step 6: Final answer
    x = 39,592.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.