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Finding the Third Proportional to 6,966 and 10,199

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Solution

The third proportional to 6,966 and 10,199 is: 14,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 10,199 = 10,199 : x
  2. Step 2: Convert to fraction form
    6,966/10,199 = 10,199/x
  3. Step 3: Cross multiply
    6,966x = 10,199 × 10,199
  4. Step 4: Simplify right side
    6,966x = 104,019,601
  5. Step 5: Solve for x
    x = 104,019,601/6,966
  6. Step 6: Final answer
    x = 14,932.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.