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Finding the Third Proportional to 3,845.81 and 8,409.94

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Solution

The third proportional to 3,845.81 and 8,409.94 is: 18,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.81 : 8,409.94 = 8,409.94 : x
  2. Step 2: Convert to fraction form
    3,845.81/8,409.94 = 8,409.94/x
  3. Step 3: Cross multiply
    3,845.81x = 8,409.94 × 8,409.94
  4. Step 4: Simplify right side
    3,845.81x = 70,727,048.75
  5. Step 5: Solve for x
    x = 70,727,048.75/3,845.81
  6. Step 6: Final answer
    x = 18,390.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.