Finding the Third Proportional to 47,466 and 73,494
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Solution
The third proportional to 47,466 and 73,494 is: 113,794.46
Step by Step Solution
- Step 1: Write the proportion equation
47,466 : 73,494 = 73,494 : x - Step 2: Convert to fraction form
47,466/73,494 = 73,494/x - Step 3: Cross multiply
47,466x = 73,494 × 73,494 - Step 4: Simplify right side
47,466x = 5,401,368,036 - Step 5: Solve for x
x = 5,401,368,036/47,466 - Step 6: Final answer
x = 113,794.46
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.