Finding the Third Proportional to 1,972 and 3,524
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Solution
The third proportional to 1,972 and 3,524 is: 6,297.45
Step by Step Solution
- Step 1: Write the proportion equation
1,972 : 3,524 = 3,524 : x - Step 2: Convert to fraction form
1,972/3,524 = 3,524/x - Step 3: Cross multiply
1,972x = 3,524 × 3,524 - Step 4: Simplify right side
1,972x = 12,418,576 - Step 5: Solve for x
x = 12,418,576/1,972 - Step 6: Final answer
x = 6,297.45
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Why These Related Problems?
These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.