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Finding the Third Proportional to 4,163.45 and 5,401.65

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Solution

The third proportional to 4,163.45 and 5,401.65 is: 7,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.45 : 5,401.65 = 5,401.65 : x
  2. Step 2: Convert to fraction form
    4,163.45/5,401.65 = 5,401.65/x
  3. Step 3: Cross multiply
    4,163.45x = 5,401.65 × 5,401.65
  4. Step 4: Simplify right side
    4,163.45x = 29,177,800.57
  5. Step 5: Solve for x
    x = 29,177,800.57/4,163.45
  6. Step 6: Final answer
    x = 7,008.08

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.