Finding the Third Proportional to 38,436.50 and 83,434
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Solution
The third proportional to 38,436.50 and 83,434 is: 181,109.94
Step by Step Solution
- Step 1: Write the proportion equation
38,436.50 : 83,434 = 83,434 : x - Step 2: Convert to fraction form
38,436.50/83,434 = 83,434/x - Step 3: Cross multiply
38,436.50x = 83,434 × 83,434 - Step 4: Simplify right side
38,436.50x = 6,961,232,356 - Step 5: Solve for x
x = 6,961,232,356/38,436.50 - Step 6: Final answer
x = 181,109.94
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.