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Finding the Third Proportional to 1,844.63 and 3,982.31

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Solution

The third proportional to 1,844.63 and 3,982.31 is: 8,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.63 : 3,982.31 = 3,982.31 : x
  2. Step 2: Convert to fraction form
    1,844.63/3,982.31 = 3,982.31/x
  3. Step 3: Cross multiply
    1,844.63x = 3,982.31 × 3,982.31
  4. Step 4: Simplify right side
    1,844.63x = 15,858,812.85
  5. Step 5: Solve for x
    x = 15,858,812.85/1,844.63
  6. Step 6: Final answer
    x = 8,597.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.