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Finding the Third Proportional to 25,941 and 50,586

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Solution

The third proportional to 25,941 and 50,586 is: 98,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,941 : 50,586 = 50,586 : x
  2. Step 2: Convert to fraction form
    25,941/50,586 = 50,586/x
  3. Step 3: Cross multiply
    25,941x = 50,586 × 50,586
  4. Step 4: Simplify right side
    25,941x = 2,558,943,396
  5. Step 5: Solve for x
    x = 2,558,943,396/25,941
  6. Step 6: Final answer
    x = 98,644.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.