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Finding the Third Proportional to 2,855.57 and 6,610.20

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Solution

The third proportional to 2,855.57 and 6,610.20 is: 15,301.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.57 : 6,610.20 = 6,610.20 : x
  2. Step 2: Convert to fraction form
    2,855.57/6,610.20 = 6,610.20/x
  3. Step 3: Cross multiply
    2,855.57x = 6,610.20 × 6,610.20
  4. Step 4: Simplify right side
    2,855.57x = 43,694,759.53
  5. Step 5: Solve for x
    x = 43,694,759.53/2,855.57
  6. Step 6: Final answer
    x = 15,301.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.