Finding the Third Proportional to 12,849 and 23,016
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Solution
The third proportional to 12,849 and 23,016 is: 41,227.82
Step by Step Solution
- Step 1: Write the proportion equation
12,849 : 23,016 = 23,016 : x - Step 2: Convert to fraction form
12,849/23,016 = 23,016/x - Step 3: Cross multiply
12,849x = 23,016 × 23,016 - Step 4: Simplify right side
12,849x = 529,736,256 - Step 5: Solve for x
x = 529,736,256/12,849 - Step 6: Final answer
x = 41,227.82
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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.