Finding the Third Proportional to 45,709.50 and 69,447
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Solution
The third proportional to 45,709.50 and 69,447 is: 105,511.67
Step by Step Solution
- Step 1: Write the proportion equation
45,709.50 : 69,447 = 69,447 : x - Step 2: Convert to fraction form
45,709.50/69,447 = 69,447/x - Step 3: Cross multiply
45,709.50x = 69,447 × 69,447 - Step 4: Simplify right side
45,709.50x = 4,822,885,809 - Step 5: Solve for x
x = 4,822,885,809/45,709.50 - Step 6: Final answer
x = 105,511.67
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.