Finding the Third Proportional to 1,962 and 2,616
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Solution
The third proportional to 1,962 and 2,616 is: 3,488
Step by Step Solution
- Step 1: Write the proportion equation
1,962 : 2,616 = 2,616 : x - Step 2: Convert to fraction form
1,962/2,616 = 2,616/x - Step 3: Cross multiply
1,962x = 2,616 × 2,616 - Step 4: Simplify right side
1,962x = 6,843,456 - Step 5: Solve for x
x = 6,843,456/1,962 - Step 6: Final answer
x = 3,488
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.