Finding the Third Proportional to 1,684 and 2,405
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Solution
The third proportional to 1,684 and 2,405 is: 3,434.69
Step by Step Solution
- Step 1: Write the proportion equation
1,684 : 2,405 = 2,405 : x - Step 2: Convert to fraction form
1,684/2,405 = 2,405/x - Step 3: Cross multiply
1,684x = 2,405 × 2,405 - Step 4: Simplify right side
1,684x = 5,784,025 - Step 5: Solve for x
x = 5,784,025/1,684 - Step 6: Final answer
x = 3,434.69
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.