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Finding the Third Proportional to 6,299 and 13,795

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Solution

The third proportional to 6,299 and 13,795 is: 30,211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299 : 13,795 = 13,795 : x
  2. Step 2: Convert to fraction form
    6,299/13,795 = 13,795/x
  3. Step 3: Cross multiply
    6,299x = 13,795 × 13,795
  4. Step 4: Simplify right side
    6,299x = 190,302,025
  5. Step 5: Solve for x
    x = 190,302,025/6,299
  6. Step 6: Final answer
    x = 30,211.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.