Finding the Third Proportional to 11,034 and 23,648
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Solution
The third proportional to 11,034 and 23,648 is: 50,682.25
Step by Step Solution
- Step 1: Write the proportion equation
11,034 : 23,648 = 23,648 : x - Step 2: Convert to fraction form
11,034/23,648 = 23,648/x - Step 3: Cross multiply
11,034x = 23,648 × 23,648 - Step 4: Simplify right side
11,034x = 559,227,904 - Step 5: Solve for x
x = 559,227,904/11,034 - Step 6: Final answer
x = 50,682.25
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.