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Finding the Third Proportional to 2,771.72 and 6,057.28

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Solution

The third proportional to 2,771.72 and 6,057.28 is: 13,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.72 : 6,057.28 = 6,057.28 : x
  2. Step 2: Convert to fraction form
    2,771.72/6,057.28 = 6,057.28/x
  3. Step 3: Cross multiply
    2,771.72x = 6,057.28 × 6,057.28
  4. Step 4: Simplify right side
    2,771.72x = 36,690,656.14
  5. Step 5: Solve for x
    x = 36,690,656.14/2,771.72
  6. Step 6: Final answer
    x = 13,237.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.