Finding the Third Proportional to 23,034 and 34,896
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Solution
The third proportional to 23,034 and 34,896 is: 52,866.67
Step by Step Solution
- Step 1: Write the proportion equation
23,034 : 34,896 = 34,896 : x - Step 2: Convert to fraction form
23,034/34,896 = 34,896/x - Step 3: Cross multiply
23,034x = 34,896 × 34,896 - Step 4: Simplify right side
23,034x = 1,217,730,816 - Step 5: Solve for x
x = 1,217,730,816/23,034 - Step 6: Final answer
x = 52,866.67
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.