Finding the Third Proportional to 6,278 and 8,404
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Solution
The third proportional to 6,278 and 8,404 is: 11,249.95
Step by Step Solution
- Step 1: Write the proportion equation
6,278 : 8,404 = 8,404 : x - Step 2: Convert to fraction form
6,278/8,404 = 8,404/x - Step 3: Cross multiply
6,278x = 8,404 × 8,404 - Step 4: Simplify right side
6,278x = 70,627,216 - Step 5: Solve for x
x = 70,627,216/6,278 - Step 6: Final answer
x = 11,249.95
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.