Finding the Third Proportional to 31,997 and 45,039
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Solution
The third proportional to 31,997 and 45,039 is: 63,396.93
Step by Step Solution
- Step 1: Write the proportion equation
31,997 : 45,039 = 45,039 : x - Step 2: Convert to fraction form
31,997/45,039 = 45,039/x - Step 3: Cross multiply
31,997x = 45,039 × 45,039 - Step 4: Simplify right side
31,997x = 2,028,511,521 - Step 5: Solve for x
x = 2,028,511,521/31,997 - Step 6: Final answer
x = 63,396.93
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.