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Finding the Third Proportional to 25,586 and 52,212

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Solution

The third proportional to 25,586 and 52,212 is: 106,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586 : 52,212 = 52,212 : x
  2. Step 2: Convert to fraction form
    25,586/52,212 = 52,212/x
  3. Step 3: Cross multiply
    25,586x = 52,212 × 52,212
  4. Step 4: Simplify right side
    25,586x = 2,726,092,944
  5. Step 5: Solve for x
    x = 2,726,092,944/25,586
  6. Step 6: Final answer
    x = 106,546.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.