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Finding the Third Proportional to 3,943.69 and 8,485.31

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Solution

The third proportional to 3,943.69 and 8,485.31 is: 18,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.69 : 8,485.31 = 8,485.31 : x
  2. Step 2: Convert to fraction form
    3,943.69/8,485.31 = 8,485.31/x
  3. Step 3: Cross multiply
    3,943.69x = 8,485.31 × 8,485.31
  4. Step 4: Simplify right side
    3,943.69x = 72,000,528.22
  5. Step 5: Solve for x
    x = 72,000,528.22/3,943.69
  6. Step 6: Final answer
    x = 18,257.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.