Finding the Third Proportional to 47,842.50 and 104,754
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Solution
The third proportional to 47,842.50 and 104,754 is: 229,365.12
Step by Step Solution
- Step 1: Write the proportion equation
47,842.50 : 104,754 = 104,754 : x - Step 2: Convert to fraction form
47,842.50/104,754 = 104,754/x - Step 3: Cross multiply
47,842.50x = 104,754 × 104,754 - Step 4: Simplify right side
47,842.50x = 10,973,400,516 - Step 5: Solve for x
x = 10,973,400,516/47,842.50 - Step 6: Final answer
x = 229,365.12
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.