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Finding the Third Proportional to 7,812 and 13,869

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Solution

The third proportional to 7,812 and 13,869 is: 24,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 13,869 = 13,869 : x
  2. Step 2: Convert to fraction form
    7,812/13,869 = 13,869/x
  3. Step 3: Cross multiply
    7,812x = 13,869 × 13,869
  4. Step 4: Simplify right side
    7,812x = 192,349,161
  5. Step 5: Solve for x
    x = 192,349,161/7,812
  6. Step 6: Final answer
    x = 24,622.27

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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.