Finding the Third Proportional to 47,180 and 68,824
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Solution
The third proportional to 47,180 and 68,824 is: 100,397.27
Step by Step Solution
- Step 1: Write the proportion equation
47,180 : 68,824 = 68,824 : x - Step 2: Convert to fraction form
47,180/68,824 = 68,824/x - Step 3: Cross multiply
47,180x = 68,824 × 68,824 - Step 4: Simplify right side
47,180x = 4,736,742,976 - Step 5: Solve for x
x = 4,736,742,976/47,180 - Step 6: Final answer
x = 100,397.27
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.