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Finding the Third Proportional to 7,183.27 and 10,784.71

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Solution

The third proportional to 7,183.27 and 10,784.71 is: 16,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.27 : 10,784.71 = 10,784.71 : x
  2. Step 2: Convert to fraction form
    7,183.27/10,784.71 = 10,784.71/x
  3. Step 3: Cross multiply
    7,183.27x = 10,784.71 × 10,784.71
  4. Step 4: Simplify right side
    7,183.27x = 116,309,905.75
  5. Step 5: Solve for x
    x = 116,309,905.75/7,183.27
  6. Step 6: Final answer
    x = 16,191.79

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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.