Finding the Third Proportional to 31,074 and 48,226.50
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Solution
The third proportional to 31,074 and 48,226.50 is: 74,846.99
Step by Step Solution
- Step 1: Write the proportion equation
31,074 : 48,226.50 = 48,226.50 : x - Step 2: Convert to fraction form
31,074/48,226.50 = 48,226.50/x - Step 3: Cross multiply
31,074x = 48,226.50 × 48,226.50 - Step 4: Simplify right side
31,074x = 2,325,795,302.25 - Step 5: Solve for x
x = 2,325,795,302.25/31,074 - Step 6: Final answer
x = 74,846.99
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.