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Finding the Third Proportional to 5,866 and 14,019

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Solution

The third proportional to 5,866 and 14,019 is: 33,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866 : 14,019 = 14,019 : x
  2. Step 2: Convert to fraction form
    5,866/14,019 = 14,019/x
  3. Step 3: Cross multiply
    5,866x = 14,019 × 14,019
  4. Step 4: Simplify right side
    5,866x = 196,532,361
  5. Step 5: Solve for x
    x = 196,532,361/5,866
  6. Step 6: Final answer
    x = 33,503.64

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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.