Finding the Third Proportional to 2,101 and 2,386
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Solution
The third proportional to 2,101 and 2,386 is: 2,709.66
Step by Step Solution
- Step 1: Write the proportion equation
2,101 : 2,386 = 2,386 : x - Step 2: Convert to fraction form
2,101/2,386 = 2,386/x - Step 3: Cross multiply
2,101x = 2,386 × 2,386 - Step 4: Simplify right side
2,101x = 5,692,996 - Step 5: Solve for x
x = 5,692,996/2,101 - Step 6: Final answer
x = 2,709.66
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.