Finding the Third Proportional to 24,608 and 53,824
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Solution
The third proportional to 24,608 and 53,824 is: 117,726.88
Step by Step Solution
- Step 1: Write the proportion equation
24,608 : 53,824 = 53,824 : x - Step 2: Convert to fraction form
24,608/53,824 = 53,824/x - Step 3: Cross multiply
24,608x = 53,824 × 53,824 - Step 4: Simplify right side
24,608x = 2,897,022,976 - Step 5: Solve for x
x = 2,897,022,976/24,608 - Step 6: Final answer
x = 117,726.88
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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.