Finding the Third Proportional to 31,269 and 50,441
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Solution
The third proportional to 31,269 and 50,441 is: 81,367.95
Step by Step Solution
- Step 1: Write the proportion equation
31,269 : 50,441 = 50,441 : x - Step 2: Convert to fraction form
31,269/50,441 = 50,441/x - Step 3: Cross multiply
31,269x = 50,441 × 50,441 - Step 4: Simplify right side
31,269x = 2,544,294,481 - Step 5: Solve for x
x = 2,544,294,481/31,269 - Step 6: Final answer
x = 81,367.95
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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.