Finding the Third Proportional to 2,614 and 3,825
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Solution
The third proportional to 2,614 and 3,825 is: 5,597.03
Step by Step Solution
- Step 1: Write the proportion equation
2,614 : 3,825 = 3,825 : x - Step 2: Convert to fraction form
2,614/3,825 = 3,825/x - Step 3: Cross multiply
2,614x = 3,825 × 3,825 - Step 4: Simplify right side
2,614x = 14,630,625 - Step 5: Solve for x
x = 14,630,625/2,614 - Step 6: Final answer
x = 5,597.03
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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.