Finding the Third Proportional to 33,102 and 78,074
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Solution
The third proportional to 33,102 and 78,074 is: 184,144.45
Step by Step Solution
- Step 1: Write the proportion equation
33,102 : 78,074 = 78,074 : x - Step 2: Convert to fraction form
33,102/78,074 = 78,074/x - Step 3: Cross multiply
33,102x = 78,074 × 78,074 - Step 4: Simplify right side
33,102x = 6,095,549,476 - Step 5: Solve for x
x = 6,095,549,476/33,102 - Step 6: Final answer
x = 184,144.45
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.