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Finding the Third Proportional to 3,671.75 and 6,481.75

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Solution

The third proportional to 3,671.75 and 6,481.75 is: 11,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.75 : 6,481.75 = 6,481.75 : x
  2. Step 2: Convert to fraction form
    3,671.75/6,481.75 = 6,481.75/x
  3. Step 3: Cross multiply
    3,671.75x = 6,481.75 × 6,481.75
  4. Step 4: Simplify right side
    3,671.75x = 42,013,083.06
  5. Step 5: Solve for x
    x = 42,013,083.06/3,671.75
  6. Step 6: Final answer
    x = 11,442.25

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.