Finding the Third Proportional to 14,896 and 23,056
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Solution
The third proportional to 14,896 and 23,056 is: 35,686.03
Step by Step Solution
- Step 1: Write the proportion equation
14,896 : 23,056 = 23,056 : x - Step 2: Convert to fraction form
14,896/23,056 = 23,056/x - Step 3: Cross multiply
14,896x = 23,056 × 23,056 - Step 4: Simplify right side
14,896x = 531,579,136 - Step 5: Solve for x
x = 531,579,136/14,896 - Step 6: Final answer
x = 35,686.03
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.