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Finding the Third Proportional to 1,883.25 and 3,994.31

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Solution

The third proportional to 1,883.25 and 3,994.31 is: 8,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.25 : 3,994.31 = 3,994.31 : x
  2. Step 2: Convert to fraction form
    1,883.25/3,994.31 = 3,994.31/x
  3. Step 3: Cross multiply
    1,883.25x = 3,994.31 × 3,994.31
  4. Step 4: Simplify right side
    1,883.25x = 15,954,532.35
  5. Step 5: Solve for x
    x = 15,954,532.35/1,883.25
  6. Step 6: Final answer
    x = 8,471.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.