Finding the Third Proportional to 2,198 and 5,059
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Solution
The third proportional to 2,198 and 5,059 is: 11,643.99
Step by Step Solution
- Step 1: Write the proportion equation
2,198 : 5,059 = 5,059 : x - Step 2: Convert to fraction form
2,198/5,059 = 5,059/x - Step 3: Cross multiply
2,198x = 5,059 × 5,059 - Step 4: Simplify right side
2,198x = 25,593,481 - Step 5: Solve for x
x = 25,593,481/2,198 - Step 6: Final answer
x = 11,643.99
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.