Finding the Third Proportional to 23,067 and 31,954
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Solution
The third proportional to 23,067 and 31,954 is: 44,264.89
Step by Step Solution
- Step 1: Write the proportion equation
23,067 : 31,954 = 31,954 : x - Step 2: Convert to fraction form
23,067/31,954 = 31,954/x - Step 3: Cross multiply
23,067x = 31,954 × 31,954 - Step 4: Simplify right side
23,067x = 1,021,058,116 - Step 5: Solve for x
x = 1,021,058,116/23,067 - Step 6: Final answer
x = 44,264.89
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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.