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Finding the Third Proportional to 6,896 and 10,194

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Solution

The third proportional to 6,896 and 10,194 is: 15,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 10,194 = 10,194 : x
  2. Step 2: Convert to fraction form
    6,896/10,194 = 10,194/x
  3. Step 3: Cross multiply
    6,896x = 10,194 × 10,194
  4. Step 4: Simplify right side
    6,896x = 103,917,636
  5. Step 5: Solve for x
    x = 103,917,636/6,896
  6. Step 6: Final answer
    x = 15,069.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.