Finding the Third Proportional to 14,926 and 31,285
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Solution
The third proportional to 14,926 and 31,285 is: 65,573.58
Step by Step Solution
- Step 1: Write the proportion equation
14,926 : 31,285 = 31,285 : x - Step 2: Convert to fraction form
14,926/31,285 = 31,285/x - Step 3: Cross multiply
14,926x = 31,285 × 31,285 - Step 4: Simplify right side
14,926x = 978,751,225 - Step 5: Solve for x
x = 978,751,225/14,926 - Step 6: Final answer
x = 65,573.58
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.