Finding the Third Proportional to 7,722 and 15,717
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Solution
The third proportional to 7,722 and 15,717 is: 31,989.65
Step by Step Solution
- Step 1: Write the proportion equation
7,722 : 15,717 = 15,717 : x - Step 2: Convert to fraction form
7,722/15,717 = 15,717/x - Step 3: Cross multiply
7,722x = 15,717 × 15,717 - Step 4: Simplify right side
7,722x = 247,024,089 - Step 5: Solve for x
x = 247,024,089/7,722 - Step 6: Final answer
x = 31,989.65
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.