Finding the Third Proportional to 8,470 and 12,949
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Solution
The third proportional to 8,470 and 12,949 is: 19,796.53
Step by Step Solution
- Step 1: Write the proportion equation
8,470 : 12,949 = 12,949 : x - Step 2: Convert to fraction form
8,470/12,949 = 12,949/x - Step 3: Cross multiply
8,470x = 12,949 × 12,949 - Step 4: Simplify right side
8,470x = 167,676,601 - Step 5: Solve for x
x = 167,676,601/8,470 - Step 6: Final answer
x = 19,796.53
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.