Finding the Third Proportional to 31,008 and 67,812
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Solution
The third proportional to 31,008 and 67,812 is: 148,299.39
Step by Step Solution
- Step 1: Write the proportion equation
31,008 : 67,812 = 67,812 : x - Step 2: Convert to fraction form
31,008/67,812 = 67,812/x - Step 3: Cross multiply
31,008x = 67,812 × 67,812 - Step 4: Simplify right side
31,008x = 4,598,467,344 - Step 5: Solve for x
x = 4,598,467,344/31,008 - Step 6: Final answer
x = 148,299.39
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.