Finding the Third Proportional to 47,180 and 72,960
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Solution
The third proportional to 47,180 and 72,960 is: 112,826.66
Step by Step Solution
- Step 1: Write the proportion equation
47,180 : 72,960 = 72,960 : x - Step 2: Convert to fraction form
47,180/72,960 = 72,960/x - Step 3: Cross multiply
47,180x = 72,960 × 72,960 - Step 4: Simplify right side
47,180x = 5,323,161,600 - Step 5: Solve for x
x = 5,323,161,600/47,180 - Step 6: Final answer
x = 112,826.66
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.