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Finding the Third Proportional to 5,649 and 12,993

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Solution

The third proportional to 5,649 and 12,993 is: 29,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649 : 12,993 = 12,993 : x
  2. Step 2: Convert to fraction form
    5,649/12,993 = 12,993/x
  3. Step 3: Cross multiply
    5,649x = 12,993 × 12,993
  4. Step 4: Simplify right side
    5,649x = 168,818,049
  5. Step 5: Solve for x
    x = 168,818,049/5,649
  6. Step 6: Final answer
    x = 29,884.59

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.