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Finding the Third Proportional to 6,824.25 and 16,176.38

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Solution

The third proportional to 6,824.25 and 16,176.38 is: 38,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.25 : 16,176.38 = 16,176.38 : x
  2. Step 2: Convert to fraction form
    6,824.25/16,176.38 = 16,176.38/x
  3. Step 3: Cross multiply
    6,824.25x = 16,176.38 × 16,176.38
  4. Step 4: Simplify right side
    6,824.25x = 261,675,108.14
  5. Step 5: Solve for x
    x = 261,675,108.14/6,824.25
  6. Step 6: Final answer
    x = 38,344.89

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.