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Finding the Third Proportional to 3,080.81 and 4,512.94

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Solution

The third proportional to 3,080.81 and 4,512.94 is: 6,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.81 : 4,512.94 = 4,512.94 : x
  2. Step 2: Convert to fraction form
    3,080.81/4,512.94 = 4,512.94/x
  3. Step 3: Cross multiply
    3,080.81x = 4,512.94 × 4,512.94
  4. Step 4: Simplify right side
    3,080.81x = 20,366,604.88
  5. Step 5: Solve for x
    x = 20,366,604.88/3,080.81
  6. Step 6: Final answer
    x = 6,610.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.