Finding the Third Proportional to 19,696 and 32,832
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Solution
The third proportional to 19,696 and 32,832 is: 54,728.89
Step by Step Solution
- Step 1: Write the proportion equation
19,696 : 32,832 = 32,832 : x - Step 2: Convert to fraction form
19,696/32,832 = 32,832/x - Step 3: Cross multiply
19,696x = 32,832 × 32,832 - Step 4: Simplify right side
19,696x = 1,077,940,224 - Step 5: Solve for x
x = 1,077,940,224/19,696 - Step 6: Final answer
x = 54,728.89
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.