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Finding the Third Proportional to 1,609.03 and 2,863.69

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Solution

The third proportional to 1,609.03 and 2,863.69 is: 5,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.03 : 2,863.69 = 2,863.69 : x
  2. Step 2: Convert to fraction form
    1,609.03/2,863.69 = 2,863.69/x
  3. Step 3: Cross multiply
    1,609.03x = 2,863.69 × 2,863.69
  4. Step 4: Simplify right side
    1,609.03x = 8,200,706.10
  5. Step 5: Solve for x
    x = 8,200,706.10/1,609.03
  6. Step 6: Final answer
    x = 5,096.67

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.