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Finding the Third Proportional to 2,771.44 and 6,004.41

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Solution

The third proportional to 2,771.44 and 6,004.41 is: 13,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.44 : 6,004.41 = 6,004.41 : x
  2. Step 2: Convert to fraction form
    2,771.44/6,004.41 = 6,004.41/x
  3. Step 3: Cross multiply
    2,771.44x = 6,004.41 × 6,004.41
  4. Step 4: Simplify right side
    2,771.44x = 36,052,894.42
  5. Step 5: Solve for x
    x = 36,052,894.42/2,771.44
  6. Step 6: Final answer
    x = 13,008.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.