Finding the Third Proportional to 6,144 and 7,776
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Solution
The third proportional to 6,144 and 7,776 is: 9,841.50
Step by Step Solution
- Step 1: Write the proportion equation
6,144 : 7,776 = 7,776 : x - Step 2: Convert to fraction form
6,144/7,776 = 7,776/x - Step 3: Cross multiply
6,144x = 7,776 × 7,776 - Step 4: Simplify right side
6,144x = 60,466,176 - Step 5: Solve for x
x = 60,466,176/6,144 - Step 6: Final answer
x = 9,841.50
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.