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Finding the Third Proportional to 7,228.83 and 10,816.03

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Solution

The third proportional to 7,228.83 and 10,816.03 is: 16,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.83 : 10,816.03 = 10,816.03 : x
  2. Step 2: Convert to fraction form
    7,228.83/10,816.03 = 10,816.03/x
  3. Step 3: Cross multiply
    7,228.83x = 10,816.03 × 10,816.03
  4. Step 4: Simplify right side
    7,228.83x = 116,986,532.00
  5. Step 5: Solve for x
    x = 116,986,532.00/7,228.83
  6. Step 6: Final answer
    x = 16,183.33

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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.