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Finding the Third Proportional to 1,993 and 4,384

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Solution

The third proportional to 1,993 and 4,384 is: 9,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993 : 4,384 = 4,384 : x
  2. Step 2: Convert to fraction form
    1,993/4,384 = 4,384/x
  3. Step 3: Cross multiply
    1,993x = 4,384 × 4,384
  4. Step 4: Simplify right side
    1,993x = 19,219,456
  5. Step 5: Solve for x
    x = 19,219,456/1,993
  6. Step 6: Final answer
    x = 9,643.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.