Finding the Third Proportional to 27,202 and 57,671
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Solution
The third proportional to 27,202 and 57,671 is: 122,268.37
Step by Step Solution
- Step 1: Write the proportion equation
27,202 : 57,671 = 57,671 : x - Step 2: Convert to fraction form
27,202/57,671 = 57,671/x - Step 3: Cross multiply
27,202x = 57,671 × 57,671 - Step 4: Simplify right side
27,202x = 3,325,944,241 - Step 5: Solve for x
x = 3,325,944,241/27,202 - Step 6: Final answer
x = 122,268.37
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.