Finding the Third Proportional to 964 and 2,002
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Solution
The third proportional to 964 and 2,002 is: 4,157.68
Step by Step Solution
- Step 1: Write the proportion equation
964 : 2,002 = 2,002 : x - Step 2: Convert to fraction form
964/2,002 = 2,002/x - Step 3: Cross multiply
964x = 2,002 × 2,002 - Step 4: Simplify right side
964x = 4,008,004 - Step 5: Solve for x
x = 4,008,004/964 - Step 6: Final answer
x = 4,157.68
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.