Finding the Third Proportional to 24,082.50 and 58,014
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Solution
The third proportional to 24,082.50 and 58,014 is: 139,753.94
Step by Step Solution
- Step 1: Write the proportion equation
24,082.50 : 58,014 = 58,014 : x - Step 2: Convert to fraction form
24,082.50/58,014 = 58,014/x - Step 3: Cross multiply
24,082.50x = 58,014 × 58,014 - Step 4: Simplify right side
24,082.50x = 3,365,624,196 - Step 5: Solve for x
x = 3,365,624,196/24,082.50 - Step 6: Final answer
x = 139,753.94
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.