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Finding the Third Proportional to 2,080.69 and 3,163.64

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Solution

The third proportional to 2,080.69 and 3,163.64 is: 4,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 3,163.64 = 3,163.64 : x
  2. Step 2: Convert to fraction form
    2,080.69/3,163.64 = 3,163.64/x
  3. Step 3: Cross multiply
    2,080.69x = 3,163.64 × 3,163.64
  4. Step 4: Simplify right side
    2,080.69x = 10,008,622.00
  5. Step 5: Solve for x
    x = 10,008,622.00/2,080.69
  6. Step 6: Final answer
    x = 4,810.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.