Finding the Third Proportional to 8,296 and 17,887
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Solution
The third proportional to 8,296 and 17,887 is: 38,566.15
Step by Step Solution
- Step 1: Write the proportion equation
8,296 : 17,887 = 17,887 : x - Step 2: Convert to fraction form
8,296/17,887 = 17,887/x - Step 3: Cross multiply
8,296x = 17,887 × 17,887 - Step 4: Simplify right side
8,296x = 319,944,769 - Step 5: Solve for x
x = 319,944,769/8,296 - Step 6: Final answer
x = 38,566.15
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.