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Finding the Third Proportional to 5,163.75 and 5,961.09

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Solution

The third proportional to 5,163.75 and 5,961.09 is: 6,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.75 : 5,961.09 = 5,961.09 : x
  2. Step 2: Convert to fraction form
    5,163.75/5,961.09 = 5,961.09/x
  3. Step 3: Cross multiply
    5,163.75x = 5,961.09 × 5,961.09
  4. Step 4: Simplify right side
    5,163.75x = 35,534,638.70
  5. Step 5: Solve for x
    x = 35,534,638.70/5,163.75
  6. Step 6: Final answer
    x = 6,881.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.