Finding the Third Proportional to 46,304 and 71,744
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Solution
The third proportional to 46,304 and 71,744 is: 111,161.06
Step by Step Solution
- Step 1: Write the proportion equation
46,304 : 71,744 = 71,744 : x - Step 2: Convert to fraction form
46,304/71,744 = 71,744/x - Step 3: Cross multiply
46,304x = 71,744 × 71,744 - Step 4: Simplify right side
46,304x = 5,147,201,536 - Step 5: Solve for x
x = 5,147,201,536/46,304 - Step 6: Final answer
x = 111,161.06
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.