Finding the Third Proportional to 6,942 and 16,056
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Solution
The third proportional to 6,942 and 16,056 is: 37,135.57
Step by Step Solution
- Step 1: Write the proportion equation
6,942 : 16,056 = 16,056 : x - Step 2: Convert to fraction form
6,942/16,056 = 16,056/x - Step 3: Cross multiply
6,942x = 16,056 × 16,056 - Step 4: Simplify right side
6,942x = 257,795,136 - Step 5: Solve for x
x = 257,795,136/6,942 - Step 6: Final answer
x = 37,135.57
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.