Finding the Third Proportional to 47,734 and 72,856
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Solution
The third proportional to 47,734 and 72,856 is: 111,199.50
Step by Step Solution
- Step 1: Write the proportion equation
47,734 : 72,856 = 72,856 : x - Step 2: Convert to fraction form
47,734/72,856 = 72,856/x - Step 3: Cross multiply
47,734x = 72,856 × 72,856 - Step 4: Simplify right side
47,734x = 5,307,996,736 - Step 5: Solve for x
x = 5,307,996,736/47,734 - Step 6: Final answer
x = 111,199.50
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.