Finding the Third Proportional to 977 and 2,322.50
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Solution
The third proportional to 977 and 2,322.50 is: 5,520.99
Step by Step Solution
- Step 1: Write the proportion equation
977 : 2,322.50 = 2,322.50 : x - Step 2: Convert to fraction form
977/2,322.50 = 2,322.50/x - Step 3: Cross multiply
977x = 2,322.50 × 2,322.50 - Step 4: Simplify right side
977x = 5,394,006.25 - Step 5: Solve for x
x = 5,394,006.25/977 - Step 6: Final answer
x = 5,520.99
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Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.