Finding the Third Proportional to 5,032.13 and 8,078.06
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Solution
The third proportional to 5,032.13 and 8,078.06 is: 12,967.70
Step by Step Solution
- Step 1: Write the proportion equation
5,032.13 : 8,078.06 = 8,078.06 : x - Step 2: Convert to fraction form
5,032.13/8,078.06 = 8,078.06/x - Step 3: Cross multiply
5,032.13x = 8,078.06 × 8,078.06 - Step 4: Simplify right side
5,032.13x = 65,255,093.75 - Step 5: Solve for x
x = 65,255,093.75/5,032.13 - Step 6: Final answer
x = 12,967.70
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.