Finding the Third Proportional to 32,765 and 78,023
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Solution
The third proportional to 32,765 and 78,023 is: 185,795.47
Step by Step Solution
- Step 1: Write the proportion equation
32,765 : 78,023 = 78,023 : x - Step 2: Convert to fraction form
32,765/78,023 = 78,023/x - Step 3: Cross multiply
32,765x = 78,023 × 78,023 - Step 4: Simplify right side
32,765x = 6,087,588,529 - Step 5: Solve for x
x = 6,087,588,529/32,765 - Step 6: Final answer
x = 185,795.47
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Why These Related Problems?
These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.