Finding the Third Proportional to 2,734 and 4,004
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Solution
The third proportional to 2,734 and 4,004 is: 5,863.94
Step by Step Solution
- Step 1: Write the proportion equation
2,734 : 4,004 = 4,004 : x - Step 2: Convert to fraction form
2,734/4,004 = 4,004/x - Step 3: Cross multiply
2,734x = 4,004 × 4,004 - Step 4: Simplify right side
2,734x = 16,032,016 - Step 5: Solve for x
x = 16,032,016/2,734 - Step 6: Final answer
x = 5,863.94
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.