Finding the Third Proportional to 31,907 and 43,774
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Solution
The third proportional to 31,907 and 43,774 is: 60,054.63
Step by Step Solution
- Step 1: Write the proportion equation
31,907 : 43,774 = 43,774 : x - Step 2: Convert to fraction form
31,907/43,774 = 43,774/x - Step 3: Cross multiply
31,907x = 43,774 × 43,774 - Step 4: Simplify right side
31,907x = 1,916,163,076 - Step 5: Solve for x
x = 1,916,163,076/31,907 - Step 6: Final answer
x = 60,054.63
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.