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Finding the Third Proportional to 3,756 and 9,194

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Solution

The third proportional to 3,756 and 9,194 is: 22,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756 : 9,194 = 9,194 : x
  2. Step 2: Convert to fraction form
    3,756/9,194 = 9,194/x
  3. Step 3: Cross multiply
    3,756x = 9,194 × 9,194
  4. Step 4: Simplify right side
    3,756x = 84,529,636
  5. Step 5: Solve for x
    x = 84,529,636/3,756
  6. Step 6: Final answer
    x = 22,505.23

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.