Finding the Third Proportional to 2,548 and 3,942
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Solution
The third proportional to 2,548 and 3,942 is: 6,098.65
Step by Step Solution
- Step 1: Write the proportion equation
2,548 : 3,942 = 3,942 : x - Step 2: Convert to fraction form
2,548/3,942 = 3,942/x - Step 3: Cross multiply
2,548x = 3,942 × 3,942 - Step 4: Simplify right side
2,548x = 15,539,364 - Step 5: Solve for x
x = 15,539,364/2,548 - Step 6: Final answer
x = 6,098.65
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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.