Finding the Third Proportional to 13,724 and 32,068
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Solution
The third proportional to 13,724 and 32,068 is: 74,931.26
Step by Step Solution
- Step 1: Write the proportion equation
13,724 : 32,068 = 32,068 : x - Step 2: Convert to fraction form
13,724/32,068 = 32,068/x - Step 3: Cross multiply
13,724x = 32,068 × 32,068 - Step 4: Simplify right side
13,724x = 1,028,356,624 - Step 5: Solve for x
x = 1,028,356,624/13,724 - Step 6: Final answer
x = 74,931.26
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.