Finding the Third Proportional to 8,986 and 13,147
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Solution
The third proportional to 8,986 and 13,147 is: 19,234.77
Step by Step Solution
- Step 1: Write the proportion equation
8,986 : 13,147 = 13,147 : x - Step 2: Convert to fraction form
8,986/13,147 = 13,147/x - Step 3: Cross multiply
8,986x = 13,147 × 13,147 - Step 4: Simplify right side
8,986x = 172,843,609 - Step 5: Solve for x
x = 172,843,609/8,986 - Step 6: Final answer
x = 19,234.77
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.