Finding the Third Proportional to 49,304 and 107,824
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Solution
The third proportional to 49,304 and 107,824 is: 235,802.67
Step by Step Solution
- Step 1: Write the proportion equation
49,304 : 107,824 = 107,824 : x - Step 2: Convert to fraction form
49,304/107,824 = 107,824/x - Step 3: Cross multiply
49,304x = 107,824 × 107,824 - Step 4: Simplify right side
49,304x = 11,626,014,976 - Step 5: Solve for x
x = 11,626,014,976/49,304 - Step 6: Final answer
x = 235,802.67
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.