Finding the Third Proportional to 31,682 and 46,371
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Solution
The third proportional to 31,682 and 46,371 is: 67,870.39
Step by Step Solution
- Step 1: Write the proportion equation
31,682 : 46,371 = 46,371 : x - Step 2: Convert to fraction form
31,682/46,371 = 46,371/x - Step 3: Cross multiply
31,682x = 46,371 × 46,371 - Step 4: Simplify right side
31,682x = 2,150,269,641 - Step 5: Solve for x
x = 2,150,269,641/31,682 - Step 6: Final answer
x = 67,870.39
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.