Finding the Third Proportional to 27,576 and 57,852
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Solution
The third proportional to 27,576 and 57,852 is: 121,368.36
Step by Step Solution
- Step 1: Write the proportion equation
27,576 : 57,852 = 57,852 : x - Step 2: Convert to fraction form
27,576/57,852 = 57,852/x - Step 3: Cross multiply
27,576x = 57,852 × 57,852 - Step 4: Simplify right side
27,576x = 3,346,853,904 - Step 5: Solve for x
x = 3,346,853,904/27,576 - Step 6: Final answer
x = 121,368.36
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.