Finding the Third Proportional to 811 and 1,777.50
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Solution
The third proportional to 811 and 1,777.50 is: 3,895.82
Step by Step Solution
- Step 1: Write the proportion equation
811 : 1,777.50 = 1,777.50 : x - Step 2: Convert to fraction form
811/1,777.50 = 1,777.50/x - Step 3: Cross multiply
811x = 1,777.50 × 1,777.50 - Step 4: Simplify right side
811x = 3,159,506.25 - Step 5: Solve for x
x = 3,159,506.25/811 - Step 6: Final answer
x = 3,895.82
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.