Finding the Third Proportional to 2,256 and 6,096
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Solution
The third proportional to 2,256 and 6,096 is: 16,472.17
Step by Step Solution
- Step 1: Write the proportion equation
2,256 : 6,096 = 6,096 : x - Step 2: Convert to fraction form
2,256/6,096 = 6,096/x - Step 3: Cross multiply
2,256x = 6,096 × 6,096 - Step 4: Simplify right side
2,256x = 37,161,216 - Step 5: Solve for x
x = 37,161,216/2,256 - Step 6: Final answer
x = 16,472.17
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.