Finding the Third Proportional to 2,004 and 3,104
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Solution
The third proportional to 2,004 and 3,104 is: 4,807.79
Step by Step Solution
- Step 1: Write the proportion equation
2,004 : 3,104 = 3,104 : x - Step 2: Convert to fraction form
2,004/3,104 = 3,104/x - Step 3: Cross multiply
2,004x = 3,104 × 3,104 - Step 4: Simplify right side
2,004x = 9,634,816 - Step 5: Solve for x
x = 9,634,816/2,004 - Step 6: Final answer
x = 4,807.79
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.