Finding the Third Proportional to 31,832 and 68,900
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Solution
The third proportional to 31,832 and 68,900 is: 149,133.26
Step by Step Solution
- Step 1: Write the proportion equation
31,832 : 68,900 = 68,900 : x - Step 2: Convert to fraction form
31,832/68,900 = 68,900/x - Step 3: Cross multiply
31,832x = 68,900 × 68,900 - Step 4: Simplify right side
31,832x = 4,747,210,000 - Step 5: Solve for x
x = 4,747,210,000/31,832 - Step 6: Final answer
x = 149,133.26
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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.