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Finding the Third Proportional to 3,453.75 and 8,364.38

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Solution

The third proportional to 3,453.75 and 8,364.38 is: 20,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.75 : 8,364.38 = 8,364.38 : x
  2. Step 2: Convert to fraction form
    3,453.75/8,364.38 = 8,364.38/x
  3. Step 3: Cross multiply
    3,453.75x = 8,364.38 × 8,364.38
  4. Step 4: Simplify right side
    3,453.75x = 69,962,769.14
  5. Step 5: Solve for x
    x = 69,962,769.14/3,453.75
  6. Step 6: Final answer
    x = 20,257.04

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.