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Finding the Third Proportional to 881.82 and 1,940.20

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Solution

The third proportional to 881.82 and 1,940.20 is: 4,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.82 : 1,940.20 = 1,940.20 : x
  2. Step 2: Convert to fraction form
    881.82/1,940.20 = 1,940.20/x
  3. Step 3: Cross multiply
    881.82x = 1,940.20 × 1,940.20
  4. Step 4: Simplify right side
    881.82x = 3,764,388.17
  5. Step 5: Solve for x
    x = 3,764,388.17/881.82
  6. Step 6: Final answer
    x = 4,268.86

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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.