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Finding the Third Proportional to 2,189.81 and 2,960.44

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Solution

The third proportional to 2,189.81 and 2,960.44 is: 4,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.81 : 2,960.44 = 2,960.44 : x
  2. Step 2: Convert to fraction form
    2,189.81/2,960.44 = 2,960.44/x
  3. Step 3: Cross multiply
    2,189.81x = 2,960.44 × 2,960.44
  4. Step 4: Simplify right side
    2,189.81x = 8,764,190.19
  5. Step 5: Solve for x
    x = 8,764,190.19/2,189.81
  6. Step 6: Final answer
    x = 4,002.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.