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Finding the Third Proportional to 44,923 and 67,385

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Solution

The third proportional to 44,923 and 67,385 is: 101,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,923 : 67,385 = 67,385 : x
  2. Step 2: Convert to fraction form
    44,923/67,385 = 67,385/x
  3. Step 3: Cross multiply
    44,923x = 67,385 × 67,385
  4. Step 4: Simplify right side
    44,923x = 4,540,738,225
  5. Step 5: Solve for x
    x = 4,540,738,225/44,923
  6. Step 6: Final answer
    x = 101,078.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.