Finding the Third Proportional to 12,140 and 19,056
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Solution
The third proportional to 12,140 and 19,056 is: 29,911.96
Step by Step Solution
- Step 1: Write the proportion equation
12,140 : 19,056 = 19,056 : x - Step 2: Convert to fraction form
12,140/19,056 = 19,056/x - Step 3: Cross multiply
12,140x = 19,056 × 19,056 - Step 4: Simplify right side
12,140x = 363,131,136 - Step 5: Solve for x
x = 363,131,136/12,140 - Step 6: Final answer
x = 29,911.96
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.