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Finding the Third Proportional to 10,072 and 14,194

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Solution

The third proportional to 10,072 and 14,194 is: 20,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 14,194 = 14,194 : x
  2. Step 2: Convert to fraction form
    10,072/14,194 = 14,194/x
  3. Step 3: Cross multiply
    10,072x = 14,194 × 14,194
  4. Step 4: Simplify right side
    10,072x = 201,469,636
  5. Step 5: Solve for x
    x = 201,469,636/10,072
  6. Step 6: Final answer
    x = 20,002.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.