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Finding the Third Proportional to 5,949 and 14,031

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Solution

The third proportional to 5,949 and 14,031 is: 33,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949 : 14,031 = 14,031 : x
  2. Step 2: Convert to fraction form
    5,949/14,031 = 14,031/x
  3. Step 3: Cross multiply
    5,949x = 14,031 × 14,031
  4. Step 4: Simplify right side
    5,949x = 196,868,961
  5. Step 5: Solve for x
    x = 196,868,961/5,949
  6. Step 6: Final answer
    x = 33,092.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.