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Finding the Third Proportional to 5,667.26 and 12,338.16

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Solution

The third proportional to 5,667.26 and 12,338.16 is: 26,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.26 : 12,338.16 = 12,338.16 : x
  2. Step 2: Convert to fraction form
    5,667.26/12,338.16 = 12,338.16/x
  3. Step 3: Cross multiply
    5,667.26x = 12,338.16 × 12,338.16
  4. Step 4: Simplify right side
    5,667.26x = 152,230,099.65
  5. Step 5: Solve for x
    x = 152,230,099.65/5,667.26
  6. Step 6: Final answer
    x = 26,861.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.