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Finding the Third Proportional to 5,673.94 and 8,184.94

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Solution

The third proportional to 5,673.94 and 8,184.94 is: 11,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.94 : 8,184.94 = 8,184.94 : x
  2. Step 2: Convert to fraction form
    5,673.94/8,184.94 = 8,184.94/x
  3. Step 3: Cross multiply
    5,673.94x = 8,184.94 × 8,184.94
  4. Step 4: Simplify right side
    5,673.94x = 66,993,201.88
  5. Step 5: Solve for x
    x = 66,993,201.88/5,673.94
  6. Step 6: Final answer
    x = 11,807.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.