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Finding the Third Proportional to 3,097 and 6,299

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Solution

The third proportional to 3,097 and 6,299 is: 12,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 6,299 = 6,299 : x
  2. Step 2: Convert to fraction form
    3,097/6,299 = 6,299/x
  3. Step 3: Cross multiply
    3,097x = 6,299 × 6,299
  4. Step 4: Simplify right side
    3,097x = 39,677,401
  5. Step 5: Solve for x
    x = 39,677,401/3,097
  6. Step 6: Final answer
    x = 12,811.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.