Finding the Third Proportional to 32,640 and 51,876
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Solution
The third proportional to 32,640 and 51,876 is: 82,448.51
Step by Step Solution
- Step 1: Write the proportion equation
32,640 : 51,876 = 51,876 : x - Step 2: Convert to fraction form
32,640/51,876 = 51,876/x - Step 3: Cross multiply
32,640x = 51,876 × 51,876 - Step 4: Simplify right side
32,640x = 2,691,119,376 - Step 5: Solve for x
x = 2,691,119,376/32,640 - Step 6: Final answer
x = 82,448.51
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.