Finding the Third Proportional to 1,031 and 2,094
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Solution
The third proportional to 1,031 and 2,094 is: 4,252.99
Step by Step Solution
- Step 1: Write the proportion equation
1,031 : 2,094 = 2,094 : x - Step 2: Convert to fraction form
1,031/2,094 = 2,094/x - Step 3: Cross multiply
1,031x = 2,094 × 2,094 - Step 4: Simplify right side
1,031x = 4,384,836 - Step 5: Solve for x
x = 4,384,836/1,031 - Step 6: Final answer
x = 4,252.99
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.