Finding the Third Proportional to 22,300 and 47,732
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Solution
The third proportional to 22,300 and 47,732 is: 102,167.88
Step by Step Solution
- Step 1: Write the proportion equation
22,300 : 47,732 = 47,732 : x - Step 2: Convert to fraction form
22,300/47,732 = 47,732/x - Step 3: Cross multiply
22,300x = 47,732 × 47,732 - Step 4: Simplify right side
22,300x = 2,278,343,824 - Step 5: Solve for x
x = 2,278,343,824/22,300 - Step 6: Final answer
x = 102,167.88
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.