Finding the Third Proportional to 5,230 and 8,092
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Solution
The third proportional to 5,230 and 8,092 is: 12,520.17
Step by Step Solution
- Step 1: Write the proportion equation
5,230 : 8,092 = 8,092 : x - Step 2: Convert to fraction form
5,230/8,092 = 8,092/x - Step 3: Cross multiply
5,230x = 8,092 × 8,092 - Step 4: Simplify right side
5,230x = 65,480,464 - Step 5: Solve for x
x = 65,480,464/5,230 - Step 6: Final answer
x = 12,520.17
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.