Finding the Third Proportional to 38,106 and 83,571.75
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Solution
The third proportional to 38,106 and 83,571.75 is: 183,284.45
Step by Step Solution
- Step 1: Write the proportion equation
38,106 : 83,571.75 = 83,571.75 : x - Step 2: Convert to fraction form
38,106/83,571.75 = 83,571.75/x - Step 3: Cross multiply
38,106x = 83,571.75 × 83,571.75 - Step 4: Simplify right side
38,106x = 6,984,237,398.06 - Step 5: Solve for x
x = 6,984,237,398.06/38,106 - Step 6: Final answer
x = 183,284.45
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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.