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Finding the Third Proportional to 1,137.94 and 2,439.56

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Solution

The third proportional to 1,137.94 and 2,439.56 is: 5,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.94 : 2,439.56 = 2,439.56 : x
  2. Step 2: Convert to fraction form
    1,137.94/2,439.56 = 2,439.56/x
  3. Step 3: Cross multiply
    1,137.94x = 2,439.56 × 2,439.56
  4. Step 4: Simplify right side
    1,137.94x = 5,951,465.19
  5. Step 5: Solve for x
    x = 5,951,465.19/1,137.94
  6. Step 6: Final answer
    x = 5,230.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.