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Finding the Third Proportional to 2,014.54 and 4,439.14

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Solution

The third proportional to 2,014.54 and 4,439.14 is: 9,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.54 : 4,439.14 = 4,439.14 : x
  2. Step 2: Convert to fraction form
    2,014.54/4,439.14 = 4,439.14/x
  3. Step 3: Cross multiply
    2,014.54x = 4,439.14 × 4,439.14
  4. Step 4: Simplify right side
    2,014.54x = 19,705,965.15
  5. Step 5: Solve for x
    x = 19,705,965.15/2,014.54
  6. Step 6: Final answer
    x = 9,781.87

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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.