Finding the Third Proportional to 47,226 and 71,293.50
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Solution
The third proportional to 47,226 and 71,293.50 is: 107,626.37
Step by Step Solution
- Step 1: Write the proportion equation
47,226 : 71,293.50 = 71,293.50 : x - Step 2: Convert to fraction form
47,226/71,293.50 = 71,293.50/x - Step 3: Cross multiply
47,226x = 71,293.50 × 71,293.50 - Step 4: Simplify right side
47,226x = 5,082,763,142.25 - Step 5: Solve for x
x = 5,082,763,142.25/47,226 - Step 6: Final answer
x = 107,626.37
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.