Finding the Third Proportional to 19,714 and 42,744
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Solution
The third proportional to 19,714 and 42,744 is: 92,677.77
Step by Step Solution
- Step 1: Write the proportion equation
19,714 : 42,744 = 42,744 : x - Step 2: Convert to fraction form
19,714/42,744 = 42,744/x - Step 3: Cross multiply
19,714x = 42,744 × 42,744 - Step 4: Simplify right side
19,714x = 1,827,049,536 - Step 5: Solve for x
x = 1,827,049,536/19,714 - Step 6: Final answer
x = 92,677.77
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.