Finding the Third Proportional to 15,702 and 23,265
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Solution
The third proportional to 15,702 and 23,265 is: 34,470.78
Step by Step Solution
- Step 1: Write the proportion equation
15,702 : 23,265 = 23,265 : x - Step 2: Convert to fraction form
15,702/23,265 = 23,265/x - Step 3: Cross multiply
15,702x = 23,265 × 23,265 - Step 4: Simplify right side
15,702x = 541,260,225 - Step 5: Solve for x
x = 541,260,225/15,702 - Step 6: Final answer
x = 34,470.78
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.