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Finding the Third Proportional to 6,469.31 and 13,176.38

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Solution

The third proportional to 6,469.31 and 13,176.38 is: 26,836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.31 : 13,176.38 = 13,176.38 : x
  2. Step 2: Convert to fraction form
    6,469.31/13,176.38 = 13,176.38/x
  3. Step 3: Cross multiply
    6,469.31x = 13,176.38 × 13,176.38
  4. Step 4: Simplify right side
    6,469.31x = 173,616,858.14
  5. Step 5: Solve for x
    x = 173,616,858.14/6,469.31
  6. Step 6: Final answer
    x = 26,836.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.