Finding the Third Proportional to 2,004 and 3,042
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Solution
The third proportional to 2,004 and 3,042 is: 4,617.65
Step by Step Solution
- Step 1: Write the proportion equation
2,004 : 3,042 = 3,042 : x - Step 2: Convert to fraction form
2,004/3,042 = 3,042/x - Step 3: Cross multiply
2,004x = 3,042 × 3,042 - Step 4: Simplify right side
2,004x = 9,253,764 - Step 5: Solve for x
x = 9,253,764/2,004 - Step 6: Final answer
x = 4,617.65
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.