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Finding the Third Proportional to 27,357 and 44,667

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Solution

The third proportional to 27,357 and 44,667 is: 72,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,357 : 44,667 = 44,667 : x
  2. Step 2: Convert to fraction form
    27,357/44,667 = 44,667/x
  3. Step 3: Cross multiply
    27,357x = 44,667 × 44,667
  4. Step 4: Simplify right side
    27,357x = 1,995,140,889
  5. Step 5: Solve for x
    x = 1,995,140,889/27,357
  6. Step 6: Final answer
    x = 72,929.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.