Finding the Third Proportional to 28,226 and 37,470
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Solution
The third proportional to 28,226 and 37,470 is: 49,741.41
Step by Step Solution
- Step 1: Write the proportion equation
28,226 : 37,470 = 37,470 : x - Step 2: Convert to fraction form
28,226/37,470 = 37,470/x - Step 3: Cross multiply
28,226x = 37,470 × 37,470 - Step 4: Simplify right side
28,226x = 1,404,000,900 - Step 5: Solve for x
x = 1,404,000,900/28,226 - Step 6: Final answer
x = 49,741.41
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.