Finding the Third Proportional to 6,740 and 14,733
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Solution
The third proportional to 6,740 and 14,733 is: 32,204.94
Step by Step Solution
- Step 1: Write the proportion equation
6,740 : 14,733 = 14,733 : x - Step 2: Convert to fraction form
6,740/14,733 = 14,733/x - Step 3: Cross multiply
6,740x = 14,733 × 14,733 - Step 4: Simplify right side
6,740x = 217,061,289 - Step 5: Solve for x
x = 217,061,289/6,740 - Step 6: Final answer
x = 32,204.94
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.