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Finding the Third Proportional to 8,202.38 and 11,969.44

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Solution

The third proportional to 8,202.38 and 11,969.44 is: 17,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.38 : 11,969.44 = 11,969.44 : x
  2. Step 2: Convert to fraction form
    8,202.38/11,969.44 = 11,969.44/x
  3. Step 3: Cross multiply
    8,202.38x = 11,969.44 × 11,969.44
  4. Step 4: Simplify right side
    8,202.38x = 143,267,434.07
  5. Step 5: Solve for x
    x = 143,267,434.07/8,202.38
  6. Step 6: Final answer
    x = 17,466.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.