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Finding the Third Proportional to 5,509.13 and 8,238.94

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Solution

The third proportional to 5,509.13 and 8,238.94 is: 12,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.13 : 8,238.94 = 8,238.94 : x
  2. Step 2: Convert to fraction form
    5,509.13/8,238.94 = 8,238.94/x
  3. Step 3: Cross multiply
    5,509.13x = 8,238.94 × 8,238.94
  4. Step 4: Simplify right side
    5,509.13x = 67,880,091.13
  5. Step 5: Solve for x
    x = 67,880,091.13/5,509.13
  6. Step 6: Final answer
    x = 12,321.39

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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.