Finding the Third Proportional to 1,764 and 1,932
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Solution
The third proportional to 1,764 and 1,932 is: 2,116
Step by Step Solution
- Step 1: Write the proportion equation
1,764 : 1,932 = 1,932 : x - Step 2: Convert to fraction form
1,764/1,932 = 1,932/x - Step 3: Cross multiply
1,764x = 1,932 × 1,932 - Step 4: Simplify right side
1,764x = 3,732,624 - Step 5: Solve for x
x = 3,732,624/1,764 - Step 6: Final answer
x = 2,116
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.