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Finding the Third Proportional to 5,163.75 and 7,184.81

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Solution

The third proportional to 5,163.75 and 7,184.81 is: 9,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.75 : 7,184.81 = 7,184.81 : x
  2. Step 2: Convert to fraction form
    5,163.75/7,184.81 = 7,184.81/x
  3. Step 3: Cross multiply
    5,163.75x = 7,184.81 × 7,184.81
  4. Step 4: Simplify right side
    5,163.75x = 51,621,530.66
  5. Step 5: Solve for x
    x = 51,621,530.66/5,163.75
  6. Step 6: Final answer
    x = 9,996.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.