Finding the Third Proportional to 31,367 and 67,027
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Solution
The third proportional to 31,367 and 67,027 is: 143,227.56
Step by Step Solution
- Step 1: Write the proportion equation
31,367 : 67,027 = 67,027 : x - Step 2: Convert to fraction form
31,367/67,027 = 67,027/x - Step 3: Cross multiply
31,367x = 67,027 × 67,027 - Step 4: Simplify right side
31,367x = 4,492,618,729 - Step 5: Solve for x
x = 4,492,618,729/31,367 - Step 6: Final answer
x = 143,227.56
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.