Finding the Third Proportional to 2,076 and 2,247
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Solution
The third proportional to 2,076 and 2,247 is: 2,432.09
Step by Step Solution
- Step 1: Write the proportion equation
2,076 : 2,247 = 2,247 : x - Step 2: Convert to fraction form
2,076/2,247 = 2,247/x - Step 3: Cross multiply
2,076x = 2,247 × 2,247 - Step 4: Simplify right side
2,076x = 5,049,009 - Step 5: Solve for x
x = 5,049,009/2,076 - Step 6: Final answer
x = 2,432.09
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.