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Finding the Third Proportional to 22,794 and 52,305

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Solution

The third proportional to 22,794 and 52,305 is: 120,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794 : 52,305 = 52,305 : x
  2. Step 2: Convert to fraction form
    22,794/52,305 = 52,305/x
  3. Step 3: Cross multiply
    22,794x = 52,305 × 52,305
  4. Step 4: Simplify right side
    22,794x = 2,735,813,025
  5. Step 5: Solve for x
    x = 2,735,813,025/22,794
  6. Step 6: Final answer
    x = 120,023.38

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.