Finding the Third Proportional to 2,684 and 3,405
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Solution
The third proportional to 2,684 and 3,405 is: 4,319.68
Step by Step Solution
- Step 1: Write the proportion equation
2,684 : 3,405 = 3,405 : x - Step 2: Convert to fraction form
2,684/3,405 = 3,405/x - Step 3: Cross multiply
2,684x = 3,405 × 3,405 - Step 4: Simplify right side
2,684x = 11,594,025 - Step 5: Solve for x
x = 11,594,025/2,684 - Step 6: Final answer
x = 4,319.68
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.