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Finding the Third Proportional to 2,439.56 and 3,207.94

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Solution

The third proportional to 2,439.56 and 3,207.94 is: 4,218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.56 : 3,207.94 = 3,207.94 : x
  2. Step 2: Convert to fraction form
    2,439.56/3,207.94 = 3,207.94/x
  3. Step 3: Cross multiply
    2,439.56x = 3,207.94 × 3,207.94
  4. Step 4: Simplify right side
    2,439.56x = 10,290,863.00
  5. Step 5: Solve for x
    x = 10,290,863.00/2,439.56
  6. Step 6: Final answer
    x = 4,218.32

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.