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Finding the Third Proportional to 5,882 and 14,041

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Solution

The third proportional to 5,882 and 14,041 is: 33,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882 : 14,041 = 14,041 : x
  2. Step 2: Convert to fraction form
    5,882/14,041 = 14,041/x
  3. Step 3: Cross multiply
    5,882x = 14,041 × 14,041
  4. Step 4: Simplify right side
    5,882x = 197,149,681
  5. Step 5: Solve for x
    x = 197,149,681/5,882
  6. Step 6: Final answer
    x = 33,517.46

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.