Finding the Third Proportional to 7,744 and 8,800
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Solution
The third proportional to 7,744 and 8,800 is: 10,000
Step by Step Solution
- Step 1: Write the proportion equation
7,744 : 8,800 = 8,800 : x - Step 2: Convert to fraction form
7,744/8,800 = 8,800/x - Step 3: Cross multiply
7,744x = 8,800 × 8,800 - Step 4: Simplify right side
7,744x = 77,440,000 - Step 5: Solve for x
x = 77,440,000/7,744 - Step 6: Final answer
x = 10,000
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.