Finding the Third Proportional to 7,792 and 16,416
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Solution
The third proportional to 7,792 and 16,416 is: 34,584.84
Step by Step Solution
- Step 1: Write the proportion equation
7,792 : 16,416 = 16,416 : x - Step 2: Convert to fraction form
7,792/16,416 = 16,416/x - Step 3: Cross multiply
7,792x = 16,416 × 16,416 - Step 4: Simplify right side
7,792x = 269,485,056 - Step 5: Solve for x
x = 269,485,056/7,792 - Step 6: Final answer
x = 34,584.84
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.