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Finding the Third Proportional to 2,971.69 and 6,033.94

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Solution

The third proportional to 2,971.69 and 6,033.94 is: 12,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.69 : 6,033.94 = 6,033.94 : x
  2. Step 2: Convert to fraction form
    2,971.69/6,033.94 = 6,033.94/x
  3. Step 3: Cross multiply
    2,971.69x = 6,033.94 × 6,033.94
  4. Step 4: Simplify right side
    2,971.69x = 36,408,401.75
  5. Step 5: Solve for x
    x = 36,408,401.75/2,971.69
  6. Step 6: Final answer
    x = 12,251.76

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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.