Finding the Third Proportional to 10,832 and 17,788
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Solution
The third proportional to 10,832 and 17,788 is: 29,210.94
Step by Step Solution
- Step 1: Write the proportion equation
10,832 : 17,788 = 17,788 : x - Step 2: Convert to fraction form
10,832/17,788 = 17,788/x - Step 3: Cross multiply
10,832x = 17,788 × 17,788 - Step 4: Simplify right side
10,832x = 316,412,944 - Step 5: Solve for x
x = 316,412,944/10,832 - Step 6: Final answer
x = 29,210.94
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.