Finding the Third Proportional to 12,980 and 20,136
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Solution
The third proportional to 12,980 and 20,136 is: 31,237.17
Step by Step Solution
- Step 1: Write the proportion equation
12,980 : 20,136 = 20,136 : x - Step 2: Convert to fraction form
12,980/20,136 = 20,136/x - Step 3: Cross multiply
12,980x = 20,136 × 20,136 - Step 4: Simplify right side
12,980x = 405,458,496 - Step 5: Solve for x
x = 405,458,496/12,980 - Step 6: Final answer
x = 31,237.17
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.