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Finding the Third Proportional to 3,097 and 5,205

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Solution

The third proportional to 3,097 and 5,205 is: 8,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 5,205 = 5,205 : x
  2. Step 2: Convert to fraction form
    3,097/5,205 = 5,205/x
  3. Step 3: Cross multiply
    3,097x = 5,205 × 5,205
  4. Step 4: Simplify right side
    3,097x = 27,092,025
  5. Step 5: Solve for x
    x = 27,092,025/3,097
  6. Step 6: Final answer
    x = 8,747.83

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.