Finding the Third Proportional to 992 and 1,747
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Solution
The third proportional to 992 and 1,747 is: 3,076.62
Step by Step Solution
- Step 1: Write the proportion equation
992 : 1,747 = 1,747 : x - Step 2: Convert to fraction form
992/1,747 = 1,747/x - Step 3: Cross multiply
992x = 1,747 × 1,747 - Step 4: Simplify right side
992x = 3,052,009 - Step 5: Solve for x
x = 3,052,009/992 - Step 6: Final answer
x = 3,076.62
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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.