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Finding the Third Proportional to 3,080.95 and 5,005.97

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Solution

The third proportional to 3,080.95 and 5,005.97 is: 8,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.95 : 5,005.97 = 5,005.97 : x
  2. Step 2: Convert to fraction form
    3,080.95/5,005.97 = 5,005.97/x
  3. Step 3: Cross multiply
    3,080.95x = 5,005.97 × 5,005.97
  4. Step 4: Simplify right side
    3,080.95x = 25,059,723.13
  5. Step 5: Solve for x
    x = 25,059,723.13/3,080.95
  6. Step 6: Final answer
    x = 8,133.76

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.