Finding the Third Proportional to 30,038 and 42,253
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Solution
The third proportional to 30,038 and 42,253 is: 59,435.25
Step by Step Solution
- Step 1: Write the proportion equation
30,038 : 42,253 = 42,253 : x - Step 2: Convert to fraction form
30,038/42,253 = 42,253/x - Step 3: Cross multiply
30,038x = 42,253 × 42,253 - Step 4: Simplify right side
30,038x = 1,785,316,009 - Step 5: Solve for x
x = 1,785,316,009/30,038 - Step 6: Final answer
x = 59,435.25
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.