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Finding the Third Proportional to 7,825 and 11,741

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Solution

The third proportional to 7,825 and 11,741 is: 17,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825 : 11,741 = 11,741 : x
  2. Step 2: Convert to fraction form
    7,825/11,741 = 11,741/x
  3. Step 3: Cross multiply
    7,825x = 11,741 × 11,741
  4. Step 4: Simplify right side
    7,825x = 137,851,081
  5. Step 5: Solve for x
    x = 137,851,081/7,825
  6. Step 6: Final answer
    x = 17,616.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.