Finding the Third Proportional to 31,414 and 68,376
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Solution
The third proportional to 31,414 and 68,376 is: 148,827.83
Step by Step Solution
- Step 1: Write the proportion equation
31,414 : 68,376 = 68,376 : x - Step 2: Convert to fraction form
31,414/68,376 = 68,376/x - Step 3: Cross multiply
31,414x = 68,376 × 68,376 - Step 4: Simplify right side
31,414x = 4,675,277,376 - Step 5: Solve for x
x = 4,675,277,376/31,414 - Step 6: Final answer
x = 148,827.83
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.