Finding the Third Proportional to 2,048 and 4,172
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Solution
The third proportional to 2,048 and 4,172 is: 8,498.82
Step by Step Solution
- Step 1: Write the proportion equation
2,048 : 4,172 = 4,172 : x - Step 2: Convert to fraction form
2,048/4,172 = 4,172/x - Step 3: Cross multiply
2,048x = 4,172 × 4,172 - Step 4: Simplify right side
2,048x = 17,405,584 - Step 5: Solve for x
x = 17,405,584/2,048 - Step 6: Final answer
x = 8,498.82
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.