Finding the Third Proportional to 8,072 and 17,008
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Solution
The third proportional to 8,072 and 17,008 is: 35,836.48
Step by Step Solution
- Step 1: Write the proportion equation
8,072 : 17,008 = 17,008 : x - Step 2: Convert to fraction form
8,072/17,008 = 17,008/x - Step 3: Cross multiply
8,072x = 17,008 × 17,008 - Step 4: Simplify right side
8,072x = 289,272,064 - Step 5: Solve for x
x = 289,272,064/8,072 - Step 6: Final answer
x = 35,836.48
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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.