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Finding the Third Proportional to 2,765.01 and 4,147.85

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Solution

The third proportional to 2,765.01 and 4,147.85 is: 6,222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.01 : 4,147.85 = 4,147.85 : x
  2. Step 2: Convert to fraction form
    2,765.01/4,147.85 = 4,147.85/x
  3. Step 3: Cross multiply
    2,765.01x = 4,147.85 × 4,147.85
  4. Step 4: Simplify right side
    2,765.01x = 17,204,648.28
  5. Step 5: Solve for x
    x = 17,204,648.28/2,765.01
  6. Step 6: Final answer
    x = 6,222.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.