Finding the Third Proportional to 32,043 and 47,799
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Solution
The third proportional to 32,043 and 47,799 is: 71,302.45
Step by Step Solution
- Step 1: Write the proportion equation
32,043 : 47,799 = 47,799 : x - Step 2: Convert to fraction form
32,043/47,799 = 47,799/x - Step 3: Cross multiply
32,043x = 47,799 × 47,799 - Step 4: Simplify right side
32,043x = 2,284,744,401 - Step 5: Solve for x
x = 2,284,744,401/32,043 - Step 6: Final answer
x = 71,302.45
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.