Finding the Third Proportional to 38,202.50 and 58,402
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Solution
The third proportional to 38,202.50 and 58,402 is: 89,281.95
Step by Step Solution
- Step 1: Write the proportion equation
38,202.50 : 58,402 = 58,402 : x - Step 2: Convert to fraction form
38,202.50/58,402 = 58,402/x - Step 3: Cross multiply
38,202.50x = 58,402 × 58,402 - Step 4: Simplify right side
38,202.50x = 3,410,793,604 - Step 5: Solve for x
x = 3,410,793,604/38,202.50 - Step 6: Final answer
x = 89,281.95
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.