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Finding the Third Proportional to 23,769 and 52,812

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Solution

The third proportional to 23,769 and 52,812 is: 117,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 52,812 = 52,812 : x
  2. Step 2: Convert to fraction form
    23,769/52,812 = 52,812/x
  3. Step 3: Cross multiply
    23,769x = 52,812 × 52,812
  4. Step 4: Simplify right side
    23,769x = 2,789,107,344
  5. Step 5: Solve for x
    x = 2,789,107,344/23,769
  6. Step 6: Final answer
    x = 117,342.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.