Finding the Third Proportional to 31,614 and 67,122
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Solution
The third proportional to 31,614 and 67,122 is: 142,511.64
Step by Step Solution
- Step 1: Write the proportion equation
31,614 : 67,122 = 67,122 : x - Step 2: Convert to fraction form
31,614/67,122 = 67,122/x - Step 3: Cross multiply
31,614x = 67,122 × 67,122 - Step 4: Simplify right side
31,614x = 4,505,362,884 - Step 5: Solve for x
x = 4,505,362,884/31,614 - Step 6: Final answer
x = 142,511.64
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.