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Finding the Third Proportional to 1,693.88 and 2,694.83

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Solution

The third proportional to 1,693.88 and 2,694.83 is: 4,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.88 : 2,694.83 = 2,694.83 : x
  2. Step 2: Convert to fraction form
    1,693.88/2,694.83 = 2,694.83/x
  3. Step 3: Cross multiply
    1,693.88x = 2,694.83 × 2,694.83
  4. Step 4: Simplify right side
    1,693.88x = 7,262,119.68
  5. Step 5: Solve for x
    x = 7,262,119.68/1,693.88
  6. Step 6: Final answer
    x = 4,287.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.