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Finding the Third Proportional to 2,771.91 and 6,057.66

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Solution

The third proportional to 2,771.91 and 6,057.66 is: 13,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.91 : 6,057.66 = 6,057.66 : x
  2. Step 2: Convert to fraction form
    2,771.91/6,057.66 = 6,057.66/x
  3. Step 3: Cross multiply
    2,771.91x = 6,057.66 × 6,057.66
  4. Step 4: Simplify right side
    2,771.91x = 36,695,199.24
  5. Step 5: Solve for x
    x = 36,695,199.24/2,771.91
  6. Step 6: Final answer
    x = 13,238.25

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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.