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Finding the Third Proportional to 11,842 and 25,682

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Solution

The third proportional to 11,842 and 25,682 is: 55,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 25,682 = 25,682 : x
  2. Step 2: Convert to fraction form
    11,842/25,682 = 25,682/x
  3. Step 3: Cross multiply
    11,842x = 25,682 × 25,682
  4. Step 4: Simplify right side
    11,842x = 659,565,124
  5. Step 5: Solve for x
    x = 659,565,124/11,842
  6. Step 6: Final answer
    x = 55,697.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.