Finding the Third Proportional to 5,948 and 13,003
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Solution
The third proportional to 5,948 and 13,003 is: 28,426.03
Step by Step Solution
- Step 1: Write the proportion equation
5,948 : 13,003 = 13,003 : x - Step 2: Convert to fraction form
5,948/13,003 = 13,003/x - Step 3: Cross multiply
5,948x = 13,003 × 13,003 - Step 4: Simplify right side
5,948x = 169,078,009 - Step 5: Solve for x
x = 169,078,009/5,948 - Step 6: Final answer
x = 28,426.03
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.