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Finding the Third Proportional to 9,754 and 11,194

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Solution

The third proportional to 9,754 and 11,194 is: 12,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 11,194 = 11,194 : x
  2. Step 2: Convert to fraction form
    9,754/11,194 = 11,194/x
  3. Step 3: Cross multiply
    9,754x = 11,194 × 11,194
  4. Step 4: Simplify right side
    9,754x = 125,305,636
  5. Step 5: Solve for x
    x = 125,305,636/9,754
  6. Step 6: Final answer
    x = 12,846.59

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.