Finding the Third Proportional to 31,300 and 67,907
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Solution
The third proportional to 31,300 and 67,907 is: 147,327.82
Step by Step Solution
- Step 1: Write the proportion equation
31,300 : 67,907 = 67,907 : x - Step 2: Convert to fraction form
31,300/67,907 = 67,907/x - Step 3: Cross multiply
31,300x = 67,907 × 67,907 - Step 4: Simplify right side
31,300x = 4,611,360,649 - Step 5: Solve for x
x = 4,611,360,649/31,300 - Step 6: Final answer
x = 147,327.82
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.