Finding the Third Proportional to 2,076 and 3,230
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Solution
The third proportional to 2,076 and 3,230 is: 5,025.48
Step by Step Solution
- Step 1: Write the proportion equation
2,076 : 3,230 = 3,230 : x - Step 2: Convert to fraction form
2,076/3,230 = 3,230/x - Step 3: Cross multiply
2,076x = 3,230 × 3,230 - Step 4: Simplify right side
2,076x = 10,432,900 - Step 5: Solve for x
x = 10,432,900/2,076 - Step 6: Final answer
x = 5,025.48
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.