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Finding the Third Proportional to 1,649 and 3,836

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Solution

The third proportional to 1,649 and 3,836 is: 8,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649 : 3,836 = 3,836 : x
  2. Step 2: Convert to fraction form
    1,649/3,836 = 3,836/x
  3. Step 3: Cross multiply
    1,649x = 3,836 × 3,836
  4. Step 4: Simplify right side
    1,649x = 14,714,896
  5. Step 5: Solve for x
    x = 14,714,896/1,649
  6. Step 6: Final answer
    x = 8,923.53

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.