Finding the Third Proportional to 6,770 and 14,534
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Solution
The third proportional to 6,770 and 14,534 is: 31,201.94
Step by Step Solution
- Step 1: Write the proportion equation
6,770 : 14,534 = 14,534 : x - Step 2: Convert to fraction form
6,770/14,534 = 14,534/x - Step 3: Cross multiply
6,770x = 14,534 × 14,534 - Step 4: Simplify right side
6,770x = 211,237,156 - Step 5: Solve for x
x = 211,237,156/6,770 - Step 6: Final answer
x = 31,201.94
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.