Finding the Third Proportional to 1,026 and 1,845
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Solution
The third proportional to 1,026 and 1,845 is: 3,317.76
Step by Step Solution
- Step 1: Write the proportion equation
1,026 : 1,845 = 1,845 : x - Step 2: Convert to fraction form
1,026/1,845 = 1,845/x - Step 3: Cross multiply
1,026x = 1,845 × 1,845 - Step 4: Simplify right side
1,026x = 3,404,025 - Step 5: Solve for x
x = 3,404,025/1,026 - Step 6: Final answer
x = 3,317.76
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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.