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Finding the Third Proportional to 3,097 and 6,041

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Solution

The third proportional to 3,097 and 6,041 is: 11,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 6,041 = 6,041 : x
  2. Step 2: Convert to fraction form
    3,097/6,041 = 6,041/x
  3. Step 3: Cross multiply
    3,097x = 6,041 × 6,041
  4. Step 4: Simplify right side
    3,097x = 36,493,681
  5. Step 5: Solve for x
    x = 36,493,681/3,097
  6. Step 6: Final answer
    x = 11,783.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.