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Finding the Third Proportional to 7,183.41 and 10,784.81

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Solution

The third proportional to 7,183.41 and 10,784.81 is: 16,191.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.41 : 10,784.81 = 10,784.81 : x
  2. Step 2: Convert to fraction form
    7,183.41/10,784.81 = 10,784.81/x
  3. Step 3: Cross multiply
    7,183.41x = 10,784.81 × 10,784.81
  4. Step 4: Simplify right side
    7,183.41x = 116,312,180.66
  5. Step 5: Solve for x
    x = 116,312,180.66/7,183.41
  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.