Finding the Third Proportional to 2,047 and 3,169
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Solution
The third proportional to 2,047 and 3,169 is: 4,905.99
Step by Step Solution
- Step 1: Write the proportion equation
2,047 : 3,169 = 3,169 : x - Step 2: Convert to fraction form
2,047/3,169 = 3,169/x - Step 3: Cross multiply
2,047x = 3,169 × 3,169 - Step 4: Simplify right side
2,047x = 10,042,561 - Step 5: Solve for x
x = 10,042,561/2,047 - Step 6: Final answer
x = 4,905.99
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.