Finding the Third Proportional to 7,984.50 and 17,364
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Solution
The third proportional to 7,984.50 and 17,364 is: 37,761.73
Step by Step Solution
- Step 1: Write the proportion equation
7,984.50 : 17,364 = 17,364 : x - Step 2: Convert to fraction form
7,984.50/17,364 = 17,364/x - Step 3: Cross multiply
7,984.50x = 17,364 × 17,364 - Step 4: Simplify right side
7,984.50x = 301,508,496 - Step 5: Solve for x
x = 301,508,496/7,984.50 - Step 6: Final answer
x = 37,761.73
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.