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Finding the Third Proportional to 6,204.94 and 8,385.19

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Solution

The third proportional to 6,204.94 and 8,385.19 is: 11,331.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.94 : 8,385.19 = 8,385.19 : x
  2. Step 2: Convert to fraction form
    6,204.94/8,385.19 = 8,385.19/x
  3. Step 3: Cross multiply
    6,204.94x = 8,385.19 × 8,385.19
  4. Step 4: Simplify right side
    6,204.94x = 70,311,369.41
  5. Step 5: Solve for x
    x = 70,311,369.41/6,204.94
  6. Step 6: Final answer
    x = 11,331.52

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.