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Finding the Third Proportional to 1,120.75 and 2,414.75

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Solution

The third proportional to 1,120.75 and 2,414.75 is: 5,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.75 : 2,414.75 = 2,414.75 : x
  2. Step 2: Convert to fraction form
    1,120.75/2,414.75 = 2,414.75/x
  3. Step 3: Cross multiply
    1,120.75x = 2,414.75 × 2,414.75
  4. Step 4: Simplify right side
    1,120.75x = 5,831,017.56
  5. Step 5: Solve for x
    x = 5,831,017.56/1,120.75
  6. Step 6: Final answer
    x = 5,202.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.