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Finding the Third Proportional to 1,940.91 and 2,723.06

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Solution

The third proportional to 1,940.91 and 2,723.06 is: 3,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.91 : 2,723.06 = 2,723.06 : x
  2. Step 2: Convert to fraction form
    1,940.91/2,723.06 = 2,723.06/x
  3. Step 3: Cross multiply
    1,940.91x = 2,723.06 × 2,723.06
  4. Step 4: Simplify right side
    1,940.91x = 7,415,069.38
  5. Step 5: Solve for x
    x = 7,415,069.38/1,940.91
  6. Step 6: Final answer
    x = 3,820.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.