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Finding the Third Proportional to 2,728.13 and 4,087.69

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Solution

The third proportional to 2,728.13 and 4,087.69 is: 6,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.13 : 4,087.69 = 4,087.69 : x
  2. Step 2: Convert to fraction form
    2,728.13/4,087.69 = 4,087.69/x
  3. Step 3: Cross multiply
    2,728.13x = 4,087.69 × 4,087.69
  4. Step 4: Simplify right side
    2,728.13x = 16,709,189.10
  5. Step 5: Solve for x
    x = 16,709,189.10/2,728.13
  6. Step 6: Final answer
    x = 6,124.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.