Finding the Third Proportional to 1,308 and 1,962
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Solution
The third proportional to 1,308 and 1,962 is: 2,943
Step by Step Solution
- Step 1: Write the proportion equation
1,308 : 1,962 = 1,962 : x - Step 2: Convert to fraction form
1,308/1,962 = 1,962/x - Step 3: Cross multiply
1,308x = 1,962 × 1,962 - Step 4: Simplify right side
1,308x = 3,849,444 - Step 5: Solve for x
x = 3,849,444/1,308 - Step 6: Final answer
x = 2,943
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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.