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Finding the Third Proportional to 11,649 and 25,267

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Solution

The third proportional to 11,649 and 25,267 is: 54,804.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649 : 25,267 = 25,267 : x
  2. Step 2: Convert to fraction form
    11,649/25,267 = 25,267/x
  3. Step 3: Cross multiply
    11,649x = 25,267 × 25,267
  4. Step 4: Simplify right side
    11,649x = 638,421,289
  5. Step 5: Solve for x
    x = 638,421,289/11,649
  6. Step 6: Final answer
    x = 54,804.81

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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.