Finding the Third Proportional to 8,530 and 17,804
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Solution
The third proportional to 8,530 and 17,804 is: 37,160.89
Step by Step Solution
- Step 1: Write the proportion equation
8,530 : 17,804 = 17,804 : x - Step 2: Convert to fraction form
8,530/17,804 = 17,804/x - Step 3: Cross multiply
8,530x = 17,804 × 17,804 - Step 4: Simplify right side
8,530x = 316,982,416 - Step 5: Solve for x
x = 316,982,416/8,530 - Step 6: Final answer
x = 37,160.89
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.