Finding the Third Proportional to 985 and 1,532
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Solution
The third proportional to 985 and 1,532 is: 2,382.77
Step by Step Solution
- Step 1: Write the proportion equation
985 : 1,532 = 1,532 : x - Step 2: Convert to fraction form
985/1,532 = 1,532/x - Step 3: Cross multiply
985x = 1,532 × 1,532 - Step 4: Simplify right side
985x = 2,347,024 - Step 5: Solve for x
x = 2,347,024/985 - Step 6: Final answer
x = 2,382.77
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.