Finding the Third Proportional to 12,470 and 20,781
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Solution
The third proportional to 12,470 and 20,781 is: 34,631.11
Step by Step Solution
- Step 1: Write the proportion equation
12,470 : 20,781 = 20,781 : x - Step 2: Convert to fraction form
12,470/20,781 = 20,781/x - Step 3: Cross multiply
12,470x = 20,781 × 20,781 - Step 4: Simplify right side
12,470x = 431,849,961 - Step 5: Solve for x
x = 431,849,961/12,470 - Step 6: Final answer
x = 34,631.11
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.