Finding the Third Proportional to 20,984 and 42,940
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Solution
The third proportional to 20,984 and 42,940 is: 87,869.02
Step by Step Solution
- Step 1: Write the proportion equation
20,984 : 42,940 = 42,940 : x - Step 2: Convert to fraction form
20,984/42,940 = 42,940/x - Step 3: Cross multiply
20,984x = 42,940 × 42,940 - Step 4: Simplify right side
20,984x = 1,843,843,600 - Step 5: Solve for x
x = 1,843,843,600/20,984 - Step 6: Final answer
x = 87,869.02
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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.