Finding the Third Proportional to 3,460 and 3,876
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Solution
The third proportional to 3,460 and 3,876 is: 4,342.02
Step by Step Solution
- Step 1: Write the proportion equation
3,460 : 3,876 = 3,876 : x - Step 2: Convert to fraction form
3,460/3,876 = 3,876/x - Step 3: Cross multiply
3,460x = 3,876 × 3,876 - Step 4: Simplify right side
3,460x = 15,023,376 - Step 5: Solve for x
x = 15,023,376/3,460 - Step 6: Final answer
x = 4,342.02
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.