Finding the Third Proportional to 46,642.50 and 100,656
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Solution
The third proportional to 46,642.50 and 100,656 is: 217,218.85
Step by Step Solution
- Step 1: Write the proportion equation
46,642.50 : 100,656 = 100,656 : x - Step 2: Convert to fraction form
46,642.50/100,656 = 100,656/x - Step 3: Cross multiply
46,642.50x = 100,656 × 100,656 - Step 4: Simplify right side
46,642.50x = 10,131,630,336 - Step 5: Solve for x
x = 10,131,630,336/46,642.50 - Step 6: Final answer
x = 217,218.85
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.