Finding the Third Proportional to 11,487 and 17,231
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Solution
The third proportional to 11,487 and 17,231 is: 25,847.25
Step by Step Solution
- Step 1: Write the proportion equation
11,487 : 17,231 = 17,231 : x - Step 2: Convert to fraction form
11,487/17,231 = 17,231/x - Step 3: Cross multiply
11,487x = 17,231 × 17,231 - Step 4: Simplify right side
11,487x = 296,907,361 - Step 5: Solve for x
x = 296,907,361/11,487 - Step 6: Final answer
x = 25,847.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.