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Finding the Third Proportional to 47,024 and 72,027

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Solution

The third proportional to 47,024 and 72,027 is: 110,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024 : 72,027 = 72,027 : x
  2. Step 2: Convert to fraction form
    47,024/72,027 = 72,027/x
  3. Step 3: Cross multiply
    47,024x = 72,027 × 72,027
  4. Step 4: Simplify right side
    47,024x = 5,187,888,729
  5. Step 5: Solve for x
    x = 5,187,888,729/47,024
  6. Step 6: Final answer
    x = 110,324.28

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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.