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Finding the Third Proportional to 7,806 and 13,881

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Solution

The third proportional to 7,806 and 13,881 is: 24,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 13,881 = 13,881 : x
  2. Step 2: Convert to fraction form
    7,806/13,881 = 13,881/x
  3. Step 3: Cross multiply
    7,806x = 13,881 × 13,881
  4. Step 4: Simplify right side
    7,806x = 192,682,161
  5. Step 5: Solve for x
    x = 192,682,161/7,806
  6. Step 6: Final answer
    x = 24,683.85

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.