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Finding the Third Proportional to 8,413 and 11,881

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Solution

The third proportional to 8,413 and 11,881 is: 16,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413 : 11,881 = 11,881 : x
  2. Step 2: Convert to fraction form
    8,413/11,881 = 11,881/x
  3. Step 3: Cross multiply
    8,413x = 11,881 × 11,881
  4. Step 4: Simplify right side
    8,413x = 141,158,161
  5. Step 5: Solve for x
    x = 141,158,161/8,413
  6. Step 6: Final answer
    x = 16,778.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.