Finding the Third Proportional to 852 and 1,438
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Solution
The third proportional to 852 and 1,438 is: 2,427.05
Step by Step Solution
- Step 1: Write the proportion equation
852 : 1,438 = 1,438 : x - Step 2: Convert to fraction form
852/1,438 = 1,438/x - Step 3: Cross multiply
852x = 1,438 × 1,438 - Step 4: Simplify right side
852x = 2,067,844 - Step 5: Solve for x
x = 2,067,844/852 - Step 6: Final answer
x = 2,427.05
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Why These Related Problems?
These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.