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Finding the Third Proportional to 6,384 and 14,001

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Solution

The third proportional to 6,384 and 14,001 is: 30,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 14,001 = 14,001 : x
  2. Step 2: Convert to fraction form
    6,384/14,001 = 14,001/x
  3. Step 3: Cross multiply
    6,384x = 14,001 × 14,001
  4. Step 4: Simplify right side
    6,384x = 196,028,001
  5. Step 5: Solve for x
    x = 196,028,001/6,384
  6. Step 6: Final answer
    x = 30,706.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.