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Finding the Third Proportional to 3,696.26 and 8,212.64

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Solution

The third proportional to 3,696.26 and 8,212.64 is: 18,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.26 : 8,212.64 = 8,212.64 : x
  2. Step 2: Convert to fraction form
    3,696.26/8,212.64 = 8,212.64/x
  3. Step 3: Cross multiply
    3,696.26x = 8,212.64 × 8,212.64
  4. Step 4: Simplify right side
    3,696.26x = 67,447,466.04
  5. Step 5: Solve for x
    x = 67,447,466.04/3,696.26
  6. Step 6: Final answer
    x = 18,247.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.