Finding the Third Proportional to 46,966 and 72,734
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Solution
The third proportional to 46,966 and 72,734 is: 112,639.67
Step by Step Solution
- Step 1: Write the proportion equation
46,966 : 72,734 = 72,734 : x - Step 2: Convert to fraction form
46,966/72,734 = 72,734/x - Step 3: Cross multiply
46,966x = 72,734 × 72,734 - Step 4: Simplify right side
46,966x = 5,290,234,756 - Step 5: Solve for x
x = 5,290,234,756/46,966 - Step 6: Final answer
x = 112,639.67
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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.