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Finding the Third Proportional to 11,630 and 25,843

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Solution

The third proportional to 11,630 and 25,843 is: 57,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630 : 25,843 = 25,843 : x
  2. Step 2: Convert to fraction form
    11,630/25,843 = 25,843/x
  3. Step 3: Cross multiply
    11,630x = 25,843 × 25,843
  4. Step 4: Simplify right side
    11,630x = 667,860,649
  5. Step 5: Solve for x
    x = 667,860,649/11,630
  6. Step 6: Final answer
    x = 57,425.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.