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Finding the Third Proportional to 36,427 and 80,080

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Solution

The third proportional to 36,427 and 80,080 is: 176,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,427 : 80,080 = 80,080 : x
  2. Step 2: Convert to fraction form
    36,427/80,080 = 80,080/x
  3. Step 3: Cross multiply
    36,427x = 80,080 × 80,080
  4. Step 4: Simplify right side
    36,427x = 6,412,806,400
  5. Step 5: Solve for x
    x = 6,412,806,400/36,427
  6. Step 6: Final answer
    x = 176,045.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.