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Finding the Third Proportional to 47,006 and 71,997

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Solution

The third proportional to 47,006 and 71,997 is: 110,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,006 : 71,997 = 71,997 : x
  2. Step 2: Convert to fraction form
    47,006/71,997 = 71,997/x
  3. Step 3: Cross multiply
    47,006x = 71,997 × 71,997
  4. Step 4: Simplify right side
    47,006x = 5,183,568,009
  5. Step 5: Solve for x
    x = 5,183,568,009/47,006
  6. Step 6: Final answer
    x = 110,274.60

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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.