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Finding the Third Proportional to 2,771.72 and 5,951.60

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Solution

The third proportional to 2,771.72 and 5,951.60 is: 12,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.72 : 5,951.60 = 5,951.60 : x
  2. Step 2: Convert to fraction form
    2,771.72/5,951.60 = 5,951.60/x
  3. Step 3: Cross multiply
    2,771.72x = 5,951.60 × 5,951.60
  4. Step 4: Simplify right side
    2,771.72x = 35,421,561.16
  5. Step 5: Solve for x
    x = 35,421,561.16/2,771.72
  6. Step 6: Final answer
    x = 12,779.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.