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Finding the Third Proportional to 3,945.23 and 8,505.42

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Solution

The third proportional to 3,945.23 and 8,505.42 is: 18,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.23 : 8,505.42 = 8,505.42 : x
  2. Step 2: Convert to fraction form
    3,945.23/8,505.42 = 8,505.42/x
  3. Step 3: Cross multiply
    3,945.23x = 8,505.42 × 8,505.42
  4. Step 4: Simplify right side
    3,945.23x = 72,342,201.27
  5. Step 5: Solve for x
    x = 72,342,201.27/3,945.23
  6. Step 6: Final answer
    x = 18,336.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.