Finding the Third Proportional to 20,308 and 31,038
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Solution
The third proportional to 20,308 and 31,038 is: 47,437.34
Step by Step Solution
- Step 1: Write the proportion equation
20,308 : 31,038 = 31,038 : x - Step 2: Convert to fraction form
20,308/31,038 = 31,038/x - Step 3: Cross multiply
20,308x = 31,038 × 31,038 - Step 4: Simplify right side
20,308x = 963,357,444 - Step 5: Solve for x
x = 963,357,444/20,308 - Step 6: Final answer
x = 47,437.34
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.