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Finding the Third Proportional to 5,080.50 and 6,743.06

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Solution

The third proportional to 5,080.50 and 6,743.06 is: 8,949.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,080.50 : 6,743.06 = 6,743.06 : x
  2. Step 2: Convert to fraction form
    5,080.50/6,743.06 = 6,743.06/x
  3. Step 3: Cross multiply
    5,080.50x = 6,743.06 × 6,743.06
  4. Step 4: Simplify right side
    5,080.50x = 45,468,891.88
  5. Step 5: Solve for x
    x = 45,468,891.88/5,080.50
  6. Step 6: Final answer
    x = 8,949.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.