Finding the Third Proportional to 23,016 and 49,312
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Solution
The third proportional to 23,016 and 49,312 is: 105,651.43
Step by Step Solution
- Step 1: Write the proportion equation
23,016 : 49,312 = 49,312 : x - Step 2: Convert to fraction form
23,016/49,312 = 49,312/x - Step 3: Cross multiply
23,016x = 49,312 × 49,312 - Step 4: Simplify right side
23,016x = 2,431,673,344 - Step 5: Solve for x
x = 2,431,673,344/23,016 - Step 6: Final answer
x = 105,651.43
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.