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Finding the Third Proportional to 5,976 and 12,745.13

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Solution

The third proportional to 5,976 and 12,745.13 is: 27,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976 : 12,745.13 = 12,745.13 : x
  2. Step 2: Convert to fraction form
    5,976/12,745.13 = 12,745.13/x
  3. Step 3: Cross multiply
    5,976x = 12,745.13 × 12,745.13
  4. Step 4: Simplify right side
    5,976x = 162,438,211.27
  5. Step 5: Solve for x
    x = 162,438,211.27/5,976
  6. Step 6: Final answer
    x = 27,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.