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Finding the Third Proportional to 1,993.25 and 4,389

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Solution

The third proportional to 1,993.25 and 4,389 is: 9,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.25 : 4,389 = 4,389 : x
  2. Step 2: Convert to fraction form
    1,993.25/4,389 = 4,389/x
  3. Step 3: Cross multiply
    1,993.25x = 4,389 × 4,389
  4. Step 4: Simplify right side
    1,993.25x = 19,263,321
  5. Step 5: Solve for x
    x = 19,263,321/1,993.25
  6. Step 6: Final answer
    x = 9,664.28

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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.