Finding the Third Proportional to 37,720 and 78,537
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Solution
The third proportional to 37,720 and 78,537 is: 163,522.28
Step by Step Solution
- Step 1: Write the proportion equation
37,720 : 78,537 = 78,537 : x - Step 2: Convert to fraction form
37,720/78,537 = 78,537/x - Step 3: Cross multiply
37,720x = 78,537 × 78,537 - Step 4: Simplify right side
37,720x = 6,168,060,369 - Step 5: Solve for x
x = 6,168,060,369/37,720 - Step 6: Final answer
x = 163,522.28
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.