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Finding the Third Proportional to 5,213.25 and 8,076.38

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Solution

The third proportional to 5,213.25 and 8,076.38 is: 12,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.25 : 8,076.38 = 8,076.38 : x
  2. Step 2: Convert to fraction form
    5,213.25/8,076.38 = 8,076.38/x
  3. Step 3: Cross multiply
    5,213.25x = 8,076.38 × 8,076.38
  4. Step 4: Simplify right side
    5,213.25x = 65,227,833.14
  5. Step 5: Solve for x
    x = 65,227,833.14/5,213.25
  6. Step 6: Final answer
    x = 12,511.93

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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.