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Finding the Third Proportional to 12,741 and 25,825

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Solution

The third proportional to 12,741 and 25,825 is: 52,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 25,825 = 25,825 : x
  2. Step 2: Convert to fraction form
    12,741/25,825 = 25,825/x
  3. Step 3: Cross multiply
    12,741x = 25,825 × 25,825
  4. Step 4: Simplify right side
    12,741x = 666,930,625
  5. Step 5: Solve for x
    x = 666,930,625/12,741
  6. Step 6: Final answer
    x = 52,345.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.