Finding the Third Proportional to 2,457 and 5,733
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Solution
The third proportional to 2,457 and 5,733 is: 13,377
Step by Step Solution
- Step 1: Write the proportion equation
2,457 : 5,733 = 5,733 : x - Step 2: Convert to fraction form
2,457/5,733 = 5,733/x - Step 3: Cross multiply
2,457x = 5,733 × 5,733 - Step 4: Simplify right side
2,457x = 32,867,289 - Step 5: Solve for x
x = 32,867,289/2,457 - Step 6: Final answer
x = 13,377
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.