Finding the Third Proportional to 32,503 and 48,542
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Solution
The third proportional to 32,503 and 48,542 is: 72,495.64
Step by Step Solution
- Step 1: Write the proportion equation
32,503 : 48,542 = 48,542 : x - Step 2: Convert to fraction form
32,503/48,542 = 48,542/x - Step 3: Cross multiply
32,503x = 48,542 × 48,542 - Step 4: Simplify right side
32,503x = 2,356,325,764 - Step 5: Solve for x
x = 2,356,325,764/32,503 - Step 6: Final answer
x = 72,495.64
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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.