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Finding the Third Proportional to 1,379.53 and 2,074.99

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Solution

The third proportional to 1,379.53 and 2,074.99 is: 3,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.53 : 2,074.99 = 2,074.99 : x
  2. Step 2: Convert to fraction form
    1,379.53/2,074.99 = 2,074.99/x
  3. Step 3: Cross multiply
    1,379.53x = 2,074.99 × 2,074.99
  4. Step 4: Simplify right side
    1,379.53x = 4,305,592.58
  5. Step 5: Solve for x
    x = 4,305,592.58/1,379.53
  6. Step 6: Final answer
    x = 3,121.05

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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.