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Finding the Third Proportional to 3,196.97 and 6,838.03

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Solution

The third proportional to 3,196.97 and 6,838.03 is: 14,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.97 : 6,838.03 = 6,838.03 : x
  2. Step 2: Convert to fraction form
    3,196.97/6,838.03 = 6,838.03/x
  3. Step 3: Cross multiply
    3,196.97x = 6,838.03 × 6,838.03
  4. Step 4: Simplify right side
    3,196.97x = 46,758,671.38
  5. Step 5: Solve for x
    x = 46,758,671.38/3,196.97
  6. Step 6: Final answer
    x = 14,625.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.