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Finding the Third Proportional to 23,837 and 36,397

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Solution

The third proportional to 23,837 and 36,397 is: 55,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837 : 36,397 = 36,397 : x
  2. Step 2: Convert to fraction form
    23,837/36,397 = 36,397/x
  3. Step 3: Cross multiply
    23,837x = 36,397 × 36,397
  4. Step 4: Simplify right side
    23,837x = 1,324,741,609
  5. Step 5: Solve for x
    x = 1,324,741,609/23,837
  6. Step 6: Final answer
    x = 55,575.01

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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.