Finding the Third Proportional to 45,926.50 and 65,004
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Solution
The third proportional to 45,926.50 and 65,004 is: 92,006.14
Step by Step Solution
- Step 1: Write the proportion equation
45,926.50 : 65,004 = 65,004 : x - Step 2: Convert to fraction form
45,926.50/65,004 = 65,004/x - Step 3: Cross multiply
45,926.50x = 65,004 × 65,004 - Step 4: Simplify right side
45,926.50x = 4,225,520,016 - Step 5: Solve for x
x = 4,225,520,016/45,926.50 - Step 6: Final answer
x = 92,006.14
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.