Finding the Third Proportional to 852 and 940
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Solution
The third proportional to 852 and 940 is: 1,037.09
Step by Step Solution
- Step 1: Write the proportion equation
852 : 940 = 940 : x - Step 2: Convert to fraction form
852/940 = 940/x - Step 3: Cross multiply
852x = 940 × 940 - Step 4: Simplify right side
852x = 883,600 - Step 5: Solve for x
x = 883,600/852 - Step 6: Final answer
x = 1,037.09
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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.