Finding the Third Proportional to 47,805 and 70,014
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Solution
The third proportional to 47,805 and 70,014 is: 102,540.74
Step by Step Solution
- Step 1: Write the proportion equation
47,805 : 70,014 = 70,014 : x - Step 2: Convert to fraction form
47,805/70,014 = 70,014/x - Step 3: Cross multiply
47,805x = 70,014 × 70,014 - Step 4: Simplify right side
47,805x = 4,901,960,196 - Step 5: Solve for x
x = 4,901,960,196/47,805 - Step 6: Final answer
x = 102,540.74
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.