Finding the Third Proportional to 723 and 1,956
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Solution
The third proportional to 723 and 1,956 is: 5,291.75
Step by Step Solution
- Step 1: Write the proportion equation
723 : 1,956 = 1,956 : x - Step 2: Convert to fraction form
723/1,956 = 1,956/x - Step 3: Cross multiply
723x = 1,956 × 1,956 - Step 4: Simplify right side
723x = 3,825,936 - Step 5: Solve for x
x = 3,825,936/723 - Step 6: Final answer
x = 5,291.75
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These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.