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Finding the Third Proportional to 3,274 and 7,009

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Solution

The third proportional to 3,274 and 7,009 is: 15,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274 : 7,009 = 7,009 : x
  2. Step 2: Convert to fraction form
    3,274/7,009 = 7,009/x
  3. Step 3: Cross multiply
    3,274x = 7,009 × 7,009
  4. Step 4: Simplify right side
    3,274x = 49,126,081
  5. Step 5: Solve for x
    x = 49,126,081/3,274
  6. Step 6: Final answer
    x = 15,004.91

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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.