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Finding the Third Proportional to 6,821.09 and 14,467.99

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Solution

The third proportional to 6,821.09 and 14,467.99 is: 30,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.09 : 14,467.99 = 14,467.99 : x
  2. Step 2: Convert to fraction form
    6,821.09/14,467.99 = 14,467.99/x
  3. Step 3: Cross multiply
    6,821.09x = 14,467.99 × 14,467.99
  4. Step 4: Simplify right side
    6,821.09x = 209,322,797.94
  5. Step 5: Solve for x
    x = 209,322,797.94/6,821.09
  6. Step 6: Final answer
    x = 30,687.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.