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Finding the Third Proportional to 6,411 and 13,917

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Solution

The third proportional to 6,411 and 13,917 is: 30,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 13,917 = 13,917 : x
  2. Step 2: Convert to fraction form
    6,411/13,917 = 13,917/x
  3. Step 3: Cross multiply
    6,411x = 13,917 × 13,917
  4. Step 4: Simplify right side
    6,411x = 193,682,889
  5. Step 5: Solve for x
    x = 193,682,889/6,411
  6. Step 6: Final answer
    x = 30,211.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.