Finding the Third Proportional to 32,870 and 53,404
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Solution
The third proportional to 32,870 and 53,404 is: 86,765.66
Step by Step Solution
- Step 1: Write the proportion equation
32,870 : 53,404 = 53,404 : x - Step 2: Convert to fraction form
32,870/53,404 = 53,404/x - Step 3: Cross multiply
32,870x = 53,404 × 53,404 - Step 4: Simplify right side
32,870x = 2,851,987,216 - Step 5: Solve for x
x = 2,851,987,216/32,870 - Step 6: Final answer
x = 86,765.66
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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.