Finding the Third Proportional to 1,972 and 2,963
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Solution
The third proportional to 1,972 and 2,963 is: 4,452.01
Step by Step Solution
- Step 1: Write the proportion equation
1,972 : 2,963 = 2,963 : x - Step 2: Convert to fraction form
1,972/2,963 = 2,963/x - Step 3: Cross multiply
1,972x = 2,963 × 2,963 - Step 4: Simplify right side
1,972x = 8,779,369 - Step 5: Solve for x
x = 8,779,369/1,972 - Step 6: Final answer
x = 4,452.01
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.