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Finding the Third Proportional to 2,089.69 and 2,797.03

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Solution

The third proportional to 2,089.69 and 2,797.03 is: 3,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.69 : 2,797.03 = 2,797.03 : x
  2. Step 2: Convert to fraction form
    2,089.69/2,797.03 = 2,797.03/x
  3. Step 3: Cross multiply
    2,089.69x = 2,797.03 × 2,797.03
  4. Step 4: Simplify right side
    2,089.69x = 7,823,383.81
  5. Step 5: Solve for x
    x = 7,823,383.81/2,089.69
  6. Step 6: Final answer
    x = 3,743.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.