Finding the Third Proportional to 57,410 and 83,846.50
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Solution
The third proportional to 57,410 and 83,846.50 is: 122,456.64
Step by Step Solution
- Step 1: Write the proportion equation
57,410 : 83,846.50 = 83,846.50 : x - Step 2: Convert to fraction form
57,410/83,846.50 = 83,846.50/x - Step 3: Cross multiply
57,410x = 83,846.50 × 83,846.50 - Step 4: Simplify right side
57,410x = 7,030,235,562.25 - Step 5: Solve for x
x = 7,030,235,562.25/57,410 - Step 6: Final answer
x = 122,456.64
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.