Finding the Third Proportional to 2,843.75 and 6,149.94
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Solution
The third proportional to 2,843.75 and 6,149.94 is: 13,299.95
Step by Step Solution
- Step 1: Write the proportion equation
2,843.75 : 6,149.94 = 6,149.94 : x - Step 2: Convert to fraction form
2,843.75/6,149.94 = 6,149.94/x - Step 3: Cross multiply
2,843.75x = 6,149.94 × 6,149.94 - Step 4: Simplify right side
2,843.75x = 37,821,731.25 - Step 5: Solve for x
x = 37,821,731.25/2,843.75 - Step 6: Final answer
x = 13,299.95
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.