Finding the Third Proportional to 2,025 and 3,735
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Solution
The third proportional to 2,025 and 3,735 is: 6,889
Step by Step Solution
- Step 1: Write the proportion equation
2,025 : 3,735 = 3,735 : x - Step 2: Convert to fraction form
2,025/3,735 = 3,735/x - Step 3: Cross multiply
2,025x = 3,735 × 3,735 - Step 4: Simplify right side
2,025x = 13,950,225 - Step 5: Solve for x
x = 13,950,225/2,025 - Step 6: Final answer
x = 6,889
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Why These Related Problems?
These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.