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Finding the Third Proportional to 36,672 and 63,936

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Solution

The third proportional to 36,672 and 63,936 is: 111,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,672 : 63,936 = 63,936 : x
  2. Step 2: Convert to fraction form
    36,672/63,936 = 63,936/x
  3. Step 3: Cross multiply
    36,672x = 63,936 × 63,936
  4. Step 4: Simplify right side
    36,672x = 4,087,812,096
  5. Step 5: Solve for x
    x = 4,087,812,096/36,672
  6. Step 6: Final answer
    x = 111,469.57

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.