Finding the Third Proportional to 1,400 and 1,882
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Solution
The third proportional to 1,400 and 1,882 is: 2,529.95
Step by Step Solution
- Step 1: Write the proportion equation
1,400 : 1,882 = 1,882 : x - Step 2: Convert to fraction form
1,400/1,882 = 1,882/x - Step 3: Cross multiply
1,400x = 1,882 × 1,882 - Step 4: Simplify right side
1,400x = 3,541,924 - Step 5: Solve for x
x = 3,541,924/1,400 - Step 6: Final answer
x = 2,529.95
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.