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Finding the Third Proportional to 44,667 and 66,834

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Solution

The third proportional to 44,667 and 66,834 is: 100,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,667 : 66,834 = 66,834 : x
  2. Step 2: Convert to fraction form
    44,667/66,834 = 66,834/x
  3. Step 3: Cross multiply
    44,667x = 66,834 × 66,834
  4. Step 4: Simplify right side
    44,667x = 4,466,783,556
  5. Step 5: Solve for x
    x = 4,466,783,556/44,667
  6. Step 6: Final answer
    x = 100,001.87

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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.