Finding the Third Proportional to 38,126 and 83,522
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Solution
The third proportional to 38,126 and 83,522 is: 182,970.27
Step by Step Solution
- Step 1: Write the proportion equation
38,126 : 83,522 = 83,522 : x - Step 2: Convert to fraction form
38,126/83,522 = 83,522/x - Step 3: Cross multiply
38,126x = 83,522 × 83,522 - Step 4: Simplify right side
38,126x = 6,975,924,484 - Step 5: Solve for x
x = 6,975,924,484/38,126 - Step 6: Final answer
x = 182,970.27
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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.