Finding the Third Proportional to 47,881.50 and 102,969.75
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Solution
The third proportional to 47,881.50 and 102,969.75 is: 221,437.70
Step by Step Solution
- Step 1: Write the proportion equation
47,881.50 : 102,969.75 = 102,969.75 : x - Step 2: Convert to fraction form
47,881.50/102,969.75 = 102,969.75/x - Step 3: Cross multiply
47,881.50x = 102,969.75 × 102,969.75 - Step 4: Simplify right side
47,881.50x = 10,602,769,415.06 - Step 5: Solve for x
x = 10,602,769,415.06/47,881.50 - Step 6: Final answer
x = 221,437.70
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.