Finding the Third Proportional to 41,102 and 61,653
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Solution
The third proportional to 41,102 and 61,653 is: 92,479.50
Step by Step Solution
- Step 1: Write the proportion equation
41,102 : 61,653 = 61,653 : x - Step 2: Convert to fraction form
41,102/61,653 = 61,653/x - Step 3: Cross multiply
41,102x = 61,653 × 61,653 - Step 4: Simplify right side
41,102x = 3,801,092,409 - Step 5: Solve for x
x = 3,801,092,409/41,102 - Step 6: Final answer
x = 92,479.50
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.