Finding the Third Proportional to 19,696 and 47,530
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Solution
The third proportional to 19,696 and 47,530 is: 114,698.46
Step by Step Solution
- Step 1: Write the proportion equation
19,696 : 47,530 = 47,530 : x - Step 2: Convert to fraction form
19,696/47,530 = 47,530/x - Step 3: Cross multiply
19,696x = 47,530 × 47,530 - Step 4: Simplify right side
19,696x = 2,259,100,900 - Step 5: Solve for x
x = 2,259,100,900/19,696 - Step 6: Final answer
x = 114,698.46
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.