Finding the Third Proportional to 13,607 and 27,946
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Solution
The third proportional to 13,607 and 27,946 is: 57,395.38
Step by Step Solution
- Step 1: Write the proportion equation
13,607 : 27,946 = 27,946 : x - Step 2: Convert to fraction form
13,607/27,946 = 27,946/x - Step 3: Cross multiply
13,607x = 27,946 × 27,946 - Step 4: Simplify right side
13,607x = 780,978,916 - Step 5: Solve for x
x = 780,978,916/13,607 - Step 6: Final answer
x = 57,395.38
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.