Finding the Third Proportional to 21,006 and 32,877
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Solution
The third proportional to 21,006 and 32,877 is: 51,456.59
Step by Step Solution
- Step 1: Write the proportion equation
21,006 : 32,877 = 32,877 : x - Step 2: Convert to fraction form
21,006/32,877 = 32,877/x - Step 3: Cross multiply
21,006x = 32,877 × 32,877 - Step 4: Simplify right side
21,006x = 1,080,897,129 - Step 5: Solve for x
x = 1,080,897,129/21,006 - Step 6: Final answer
x = 51,456.59
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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.