Finding the Third Proportional to 8,210 and 17,956
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Solution
The third proportional to 8,210 and 17,956 is: 39,271.37
Step by Step Solution
- Step 1: Write the proportion equation
8,210 : 17,956 = 17,956 : x - Step 2: Convert to fraction form
8,210/17,956 = 17,956/x - Step 3: Cross multiply
8,210x = 17,956 × 17,956 - Step 4: Simplify right side
8,210x = 322,417,936 - Step 5: Solve for x
x = 322,417,936/8,210 - Step 6: Final answer
x = 39,271.37
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.