Finding the Third Proportional to 6,272 and 8,288
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Solution
The third proportional to 6,272 and 8,288 is: 10,952
Step by Step Solution
- Step 1: Write the proportion equation
6,272 : 8,288 = 8,288 : x - Step 2: Convert to fraction form
6,272/8,288 = 8,288/x - Step 3: Cross multiply
6,272x = 8,288 × 8,288 - Step 4: Simplify right side
6,272x = 68,690,944 - Step 5: Solve for x
x = 68,690,944/6,272 - Step 6: Final answer
x = 10,952
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.