Finding the Third Proportional to 27,792 and 37,824
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Solution
The third proportional to 27,792 and 37,824 is: 51,477.22
Step by Step Solution
- Step 1: Write the proportion equation
27,792 : 37,824 = 37,824 : x - Step 2: Convert to fraction form
27,792/37,824 = 37,824/x - Step 3: Cross multiply
27,792x = 37,824 × 37,824 - Step 4: Simplify right side
27,792x = 1,430,654,976 - Step 5: Solve for x
x = 1,430,654,976/27,792 - Step 6: Final answer
x = 51,477.22
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.