Finding the Third Proportional to 8,305 and 12,717
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Solution
The third proportional to 8,305 and 12,717 is: 19,472.86
Step by Step Solution
- Step 1: Write the proportion equation
8,305 : 12,717 = 12,717 : x - Step 2: Convert to fraction form
8,305/12,717 = 12,717/x - Step 3: Cross multiply
8,305x = 12,717 × 12,717 - Step 4: Simplify right side
8,305x = 161,722,089 - Step 5: Solve for x
x = 161,722,089/8,305 - Step 6: Final answer
x = 19,472.86
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.