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Finding the Third Proportional to 25,847 and 52,790

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Solution

The third proportional to 25,847 and 52,790 is: 107,818.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847 : 52,790 = 52,790 : x
  2. Step 2: Convert to fraction form
    25,847/52,790 = 52,790/x
  3. Step 3: Cross multiply
    25,847x = 52,790 × 52,790
  4. Step 4: Simplify right side
    25,847x = 2,786,784,100
  5. Step 5: Solve for x
    x = 2,786,784,100/25,847
  6. Step 6: Final answer
    x = 107,818.47

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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.