Finding the Third Proportional to 2,026 and 2,904
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Solution
The third proportional to 2,026 and 2,904 is: 4,162.50
Step by Step Solution
- Step 1: Write the proportion equation
2,026 : 2,904 = 2,904 : x - Step 2: Convert to fraction form
2,026/2,904 = 2,904/x - Step 3: Cross multiply
2,026x = 2,904 × 2,904 - Step 4: Simplify right side
2,026x = 8,433,216 - Step 5: Solve for x
x = 8,433,216/2,026 - Step 6: Final answer
x = 4,162.50
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.