Finding the Third Proportional to 992 and 1,472
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Solution
The third proportional to 992 and 1,472 is: 2,184.26
Step by Step Solution
- Step 1: Write the proportion equation
992 : 1,472 = 1,472 : x - Step 2: Convert to fraction form
992/1,472 = 1,472/x - Step 3: Cross multiply
992x = 1,472 × 1,472 - Step 4: Simplify right side
992x = 2,166,784 - Step 5: Solve for x
x = 2,166,784/992 - Step 6: Final answer
x = 2,184.26
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.