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Finding the Third Proportional to 3,649 and 7,990

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Solution

The third proportional to 3,649 and 7,990 is: 17,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649 : 7,990 = 7,990 : x
  2. Step 2: Convert to fraction form
    3,649/7,990 = 7,990/x
  3. Step 3: Cross multiply
    3,649x = 7,990 × 7,990
  4. Step 4: Simplify right side
    3,649x = 63,840,100
  5. Step 5: Solve for x
    x = 63,840,100/3,649
  6. Step 6: Final answer
    x = 17,495.23

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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.