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Finding the Third Proportional to 5,864 and 14,014

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Solution

The third proportional to 5,864 and 14,014 is: 33,491.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 14,014 = 14,014 : x
  2. Step 2: Convert to fraction form
    5,864/14,014 = 14,014/x
  3. Step 3: Cross multiply
    5,864x = 14,014 × 14,014
  4. Step 4: Simplify right side
    5,864x = 196,392,196
  5. Step 5: Solve for x
    x = 196,392,196/5,864
  6. Step 6: Final answer
    x = 33,491.17

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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.