Finding the Third Proportional to 2,034 and 3,106
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Solution
The third proportional to 2,034 and 3,106 is: 4,742.99
Step by Step Solution
- Step 1: Write the proportion equation
2,034 : 3,106 = 3,106 : x - Step 2: Convert to fraction form
2,034/3,106 = 3,106/x - Step 3: Cross multiply
2,034x = 3,106 × 3,106 - Step 4: Simplify right side
2,034x = 9,647,236 - Step 5: Solve for x
x = 9,647,236/2,034 - Step 6: Final answer
x = 4,742.99
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.