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Finding the Third Proportional to 2,663 and 4,993

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Solution

The third proportional to 2,663 and 4,993 is: 9,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663 : 4,993 = 4,993 : x
  2. Step 2: Convert to fraction form
    2,663/4,993 = 4,993/x
  3. Step 3: Cross multiply
    2,663x = 4,993 × 4,993
  4. Step 4: Simplify right side
    2,663x = 24,930,049
  5. Step 5: Solve for x
    x = 24,930,049/2,663
  6. Step 6: Final answer
    x = 9,361.64

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.