Finding the Third Proportional to 796 and 1,762
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Solution
The third proportional to 796 and 1,762 is: 3,900.31
Step by Step Solution
- Step 1: Write the proportion equation
796 : 1,762 = 1,762 : x - Step 2: Convert to fraction form
796/1,762 = 1,762/x - Step 3: Cross multiply
796x = 1,762 × 1,762 - Step 4: Simplify right side
796x = 3,104,644 - Step 5: Solve for x
x = 3,104,644/796 - Step 6: Final answer
x = 3,900.31
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.