Finding the Third Proportional to 5,149 and 6,954
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Solution
The third proportional to 5,149 and 6,954 is: 9,391.75
Step by Step Solution
- Step 1: Write the proportion equation
5,149 : 6,954 = 6,954 : x - Step 2: Convert to fraction form
5,149/6,954 = 6,954/x - Step 3: Cross multiply
5,149x = 6,954 × 6,954 - Step 4: Simplify right side
5,149x = 48,358,116 - Step 5: Solve for x
x = 48,358,116/5,149 - Step 6: Final answer
x = 9,391.75
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.