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Finding the Third Proportional to 6,980.72 and 14,163.94

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Solution

The third proportional to 6,980.72 and 14,163.94 is: 28,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.72 : 14,163.94 = 14,163.94 : x
  2. Step 2: Convert to fraction form
    6,980.72/14,163.94 = 14,163.94/x
  3. Step 3: Cross multiply
    6,980.72x = 14,163.94 × 14,163.94
  4. Step 4: Simplify right side
    6,980.72x = 200,617,125.50
  5. Step 5: Solve for x
    x = 200,617,125.50/6,980.72
  6. Step 6: Final answer
    x = 28,738.75

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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.