Finding the Third Proportional to 8,201 and 8,903
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Solution
The third proportional to 8,201 and 8,903 is: 9,665.09
Step by Step Solution
- Step 1: Write the proportion equation
8,201 : 8,903 = 8,903 : x - Step 2: Convert to fraction form
8,201/8,903 = 8,903/x - Step 3: Cross multiply
8,201x = 8,903 × 8,903 - Step 4: Simplify right side
8,201x = 79,263,409 - Step 5: Solve for x
x = 79,263,409/8,201 - Step 6: Final answer
x = 9,665.09
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.