Finding the Third Proportional to 811 and 1,852
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Solution
The third proportional to 811 and 1,852 is: 4,229.23
Step by Step Solution
- Step 1: Write the proportion equation
811 : 1,852 = 1,852 : x - Step 2: Convert to fraction form
811/1,852 = 1,852/x - Step 3: Cross multiply
811x = 1,852 × 1,852 - Step 4: Simplify right side
811x = 3,429,904 - Step 5: Solve for x
x = 3,429,904/811 - Step 6: Final answer
x = 4,229.23
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Why These Related Problems?
These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.