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Finding the Third Proportional to 6,960.75 and 16,824.75

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Solution

The third proportional to 6,960.75 and 16,824.75 is: 40,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.75 : 16,824.75 = 16,824.75 : x
  2. Step 2: Convert to fraction form
    6,960.75/16,824.75 = 16,824.75/x
  3. Step 3: Cross multiply
    6,960.75x = 16,824.75 × 16,824.75
  4. Step 4: Simplify right side
    6,960.75x = 283,072,212.56
  5. Step 5: Solve for x
    x = 283,072,212.56/6,960.75
  6. Step 6: Final answer
    x = 40,666.91

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.