Finding the Third Proportional to 27,823 and 57,586
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Solution
The third proportional to 27,823 and 57,586 is: 119,187.27
Step by Step Solution
- Step 1: Write the proportion equation
27,823 : 57,586 = 57,586 : x - Step 2: Convert to fraction form
27,823/57,586 = 57,586/x - Step 3: Cross multiply
27,823x = 57,586 × 57,586 - Step 4: Simplify right side
27,823x = 3,316,147,396 - Step 5: Solve for x
x = 3,316,147,396/27,823 - Step 6: Final answer
x = 119,187.27
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.