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Finding the Third Proportional to 3,969.75 and 7,578.75

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Solution

The third proportional to 3,969.75 and 7,578.75 is: 14,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.75 : 7,578.75 = 7,578.75 : x
  2. Step 2: Convert to fraction form
    3,969.75/7,578.75 = 7,578.75/x
  3. Step 3: Cross multiply
    3,969.75x = 7,578.75 × 7,578.75
  4. Step 4: Simplify right side
    3,969.75x = 57,437,451.56
  5. Step 5: Solve for x
    x = 57,437,451.56/3,969.75
  6. Step 6: Final answer
    x = 14,468.78

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.