Finding the Third Proportional to 46,314 and 71,759
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Solution
The third proportional to 46,314 and 71,759 is: 111,183.53
Step by Step Solution
- Step 1: Write the proportion equation
46,314 : 71,759 = 71,759 : x - Step 2: Convert to fraction form
46,314/71,759 = 71,759/x - Step 3: Cross multiply
46,314x = 71,759 × 71,759 - Step 4: Simplify right side
46,314x = 5,149,354,081 - Step 5: Solve for x
x = 5,149,354,081/46,314 - Step 6: Final answer
x = 111,183.53
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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.