Finding the Third Proportional to 7,706.44 and 16,839.75
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Solution
The third proportional to 7,706.44 and 16,839.75 is: 36,797.44
Step by Step Solution
- Step 1: Write the proportion equation
7,706.44 : 16,839.75 = 16,839.75 : x - Step 2: Convert to fraction form
7,706.44/16,839.75 = 16,839.75/x - Step 3: Cross multiply
7,706.44x = 16,839.75 × 16,839.75 - Step 4: Simplify right side
7,706.44x = 283,577,180.06 - Step 5: Solve for x
x = 283,577,180.06/7,706.44 - Step 6: Final answer
x = 36,797.44
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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.