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Finding the Third Proportional to 8,649 and 18,927

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Solution

The third proportional to 8,649 and 18,927 is: 41,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 18,927 = 18,927 : x
  2. Step 2: Convert to fraction form
    8,649/18,927 = 18,927/x
  3. Step 3: Cross multiply
    8,649x = 18,927 × 18,927
  4. Step 4: Simplify right side
    8,649x = 358,231,329
  5. Step 5: Solve for x
    x = 358,231,329/8,649
  6. Step 6: Final answer
    x = 41,418.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.