Finding the Third Proportional to 23,676 and 33,654
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Solution
The third proportional to 23,676 and 33,654 is: 47,837.12
Step by Step Solution
- Step 1: Write the proportion equation
23,676 : 33,654 = 33,654 : x - Step 2: Convert to fraction form
23,676/33,654 = 33,654/x - Step 3: Cross multiply
23,676x = 33,654 × 33,654 - Step 4: Simplify right side
23,676x = 1,132,591,716 - Step 5: Solve for x
x = 1,132,591,716/23,676 - Step 6: Final answer
x = 47,837.12
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.