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Finding the Third Proportional to 6,082.59 and 13,087.83

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Solution

The third proportional to 6,082.59 and 13,087.83 is: 28,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.59 : 13,087.83 = 13,087.83 : x
  2. Step 2: Convert to fraction form
    6,082.59/13,087.83 = 13,087.83/x
  3. Step 3: Cross multiply
    6,082.59x = 13,087.83 × 13,087.83
  4. Step 4: Simplify right side
    6,082.59x = 171,291,245.03
  5. Step 5: Solve for x
    x = 171,291,245.03/6,082.59
  6. Step 6: Final answer
    x = 28,160.89

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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.