Finding the Third Proportional to 12,170 and 18,342
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Solution
The third proportional to 12,170 and 18,342 is: 27,644.12
Step by Step Solution
- Step 1: Write the proportion equation
12,170 : 18,342 = 18,342 : x - Step 2: Convert to fraction form
12,170/18,342 = 18,342/x - Step 3: Cross multiply
12,170x = 18,342 × 18,342 - Step 4: Simplify right side
12,170x = 336,428,964 - Step 5: Solve for x
x = 336,428,964/12,170 - Step 6: Final answer
x = 27,644.12
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.