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Finding the Third Proportional to 1,650 and 3,993

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Solution

The third proportional to 1,650 and 3,993 is: 9,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650 : 3,993 = 3,993 : x
  2. Step 2: Convert to fraction form
    1,650/3,993 = 3,993/x
  3. Step 3: Cross multiply
    1,650x = 3,993 × 3,993
  4. Step 4: Simplify right side
    1,650x = 15,944,049
  5. Step 5: Solve for x
    x = 15,944,049/1,650
  6. Step 6: Final answer
    x = 9,663.06

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.