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Finding the Third Proportional to 2,107.69 and 3,168.56

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Solution

The third proportional to 2,107.69 and 3,168.56 is: 4,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 3,168.56 = 3,168.56 : x
  2. Step 2: Convert to fraction form
    2,107.69/3,168.56 = 3,168.56/x
  3. Step 3: Cross multiply
    2,107.69x = 3,168.56 × 3,168.56
  4. Step 4: Simplify right side
    2,107.69x = 10,039,788.32
  5. Step 5: Solve for x
    x = 10,039,788.32/2,107.69
  6. Step 6: Final answer
    x = 4,763.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.