Finding the Third Proportional to 31,192 and 67,372
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Solution
The third proportional to 31,192 and 67,372 is: 145,517.65
Step by Step Solution
- Step 1: Write the proportion equation
31,192 : 67,372 = 67,372 : x - Step 2: Convert to fraction form
31,192/67,372 = 67,372/x - Step 3: Cross multiply
31,192x = 67,372 × 67,372 - Step 4: Simplify right side
31,192x = 4,538,986,384 - Step 5: Solve for x
x = 4,538,986,384/31,192 - Step 6: Final answer
x = 145,517.65
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.