Finding the Third Proportional to 23,642 and 38,698
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Solution
The third proportional to 23,642 and 38,698 is: 63,342.15
Step by Step Solution
- Step 1: Write the proportion equation
23,642 : 38,698 = 38,698 : x - Step 2: Convert to fraction form
23,642/38,698 = 38,698/x - Step 3: Cross multiply
23,642x = 38,698 × 38,698 - Step 4: Simplify right side
23,642x = 1,497,535,204 - Step 5: Solve for x
x = 1,497,535,204/23,642 - Step 6: Final answer
x = 63,342.15
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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.