Finding the Third Proportional to 27,078 and 41,846
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Solution
The third proportional to 27,078 and 41,846 is: 64,668.28
Step by Step Solution
- Step 1: Write the proportion equation
27,078 : 41,846 = 41,846 : x - Step 2: Convert to fraction form
27,078/41,846 = 41,846/x - Step 3: Cross multiply
27,078x = 41,846 × 41,846 - Step 4: Simplify right side
27,078x = 1,751,087,716 - Step 5: Solve for x
x = 1,751,087,716/27,078 - Step 6: Final answer
x = 64,668.28
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.