Finding the Third Proportional to 22,732 and 32,082
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Solution
The third proportional to 22,732 and 32,082 is: 45,277.79
Step by Step Solution
- Step 1: Write the proportion equation
22,732 : 32,082 = 32,082 : x - Step 2: Convert to fraction form
22,732/32,082 = 32,082/x - Step 3: Cross multiply
22,732x = 32,082 × 32,082 - Step 4: Simplify right side
22,732x = 1,029,254,724 - Step 5: Solve for x
x = 1,029,254,724/22,732 - Step 6: Final answer
x = 45,277.79
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.