Finding the Third Proportional to 13,850 and 30,470
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Solution
The third proportional to 13,850 and 30,470 is: 67,034
Step by Step Solution
- Step 1: Write the proportion equation
13,850 : 30,470 = 30,470 : x - Step 2: Convert to fraction form
13,850/30,470 = 30,470/x - Step 3: Cross multiply
13,850x = 30,470 × 30,470 - Step 4: Simplify right side
13,850x = 928,420,900 - Step 5: Solve for x
x = 928,420,900/13,850 - Step 6: Final answer
x = 67,034
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.