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Finding the Third Proportional to 3,208.69 and 6,896.63

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Solution

The third proportional to 3,208.69 and 6,896.63 is: 14,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.69 : 6,896.63 = 6,896.63 : x
  2. Step 2: Convert to fraction form
    3,208.69/6,896.63 = 6,896.63/x
  3. Step 3: Cross multiply
    3,208.69x = 6,896.63 × 6,896.63
  4. Step 4: Simplify right side
    3,208.69x = 47,563,436.39
  5. Step 5: Solve for x
    x = 47,563,436.39/3,208.69
  6. Step 6: Final answer
    x = 14,823.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.