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Finding the Third Proportional to 2,671.73 and 4,147.14

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Solution

The third proportional to 2,671.73 and 4,147.14 is: 6,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.73 : 4,147.14 = 4,147.14 : x
  2. Step 2: Convert to fraction form
    2,671.73/4,147.14 = 4,147.14/x
  3. Step 3: Cross multiply
    2,671.73x = 4,147.14 × 4,147.14
  4. Step 4: Simplify right side
    2,671.73x = 17,198,742.96
  5. Step 5: Solve for x
    x = 17,198,742.96/2,671.73
  6. Step 6: Final answer
    x = 6,437.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.