Finding the Third Proportional to 23,773 and 52,082
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Solution
The third proportional to 23,773 and 52,082 is: 114,101.49
Step by Step Solution
- Step 1: Write the proportion equation
23,773 : 52,082 = 52,082 : x - Step 2: Convert to fraction form
23,773/52,082 = 52,082/x - Step 3: Cross multiply
23,773x = 52,082 × 52,082 - Step 4: Simplify right side
23,773x = 2,712,534,724 - Step 5: Solve for x
x = 2,712,534,724/23,773 - Step 6: Final answer
x = 114,101.49
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.