Finding the Third Proportional to 5,984 and 13,016
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Solution
The third proportional to 5,984 and 13,016 is: 28,311.54
Step by Step Solution
- Step 1: Write the proportion equation
5,984 : 13,016 = 13,016 : x - Step 2: Convert to fraction form
5,984/13,016 = 13,016/x - Step 3: Cross multiply
5,984x = 13,016 × 13,016 - Step 4: Simplify right side
5,984x = 169,416,256 - Step 5: Solve for x
x = 169,416,256/5,984 - Step 6: Final answer
x = 28,311.54
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.