Finding the Third Proportional to 2,016 and 3,105
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Solution
The third proportional to 2,016 and 3,105 is: 4,782.25
Step by Step Solution
- Step 1: Write the proportion equation
2,016 : 3,105 = 3,105 : x - Step 2: Convert to fraction form
2,016/3,105 = 3,105/x - Step 3: Cross multiply
2,016x = 3,105 × 3,105 - Step 4: Simplify right side
2,016x = 9,641,025 - Step 5: Solve for x
x = 9,641,025/2,016 - Step 6: Final answer
x = 4,782.25
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.