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Finding the Third Proportional to 6,822.98 and 14,229.42

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Solution

The third proportional to 6,822.98 and 14,229.42 is: 29,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.98 : 14,229.42 = 14,229.42 : x
  2. Step 2: Convert to fraction form
    6,822.98/14,229.42 = 14,229.42/x
  3. Step 3: Cross multiply
    6,822.98x = 14,229.42 × 14,229.42
  4. Step 4: Simplify right side
    6,822.98x = 202,476,446.90
  5. Step 5: Solve for x
    x = 202,476,446.90/6,822.98
  6. Step 6: Final answer
    x = 29,675.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.