Finding the Third Proportional to 2,149 and 2,356
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Solution
The third proportional to 2,149 and 2,356 is: 2,582.94
Step by Step Solution
- Step 1: Write the proportion equation
2,149 : 2,356 = 2,356 : x - Step 2: Convert to fraction form
2,149/2,356 = 2,356/x - Step 3: Cross multiply
2,149x = 2,356 × 2,356 - Step 4: Simplify right side
2,149x = 5,550,736 - Step 5: Solve for x
x = 5,550,736/2,149 - Step 6: Final answer
x = 2,582.94
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Why These Related Problems?
These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.