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Finding the Third Proportional to 47,007 and 71,999

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Solution

The third proportional to 47,007 and 71,999 is: 110,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007 : 71,999 = 71,999 : x
  2. Step 2: Convert to fraction form
    47,007/71,999 = 71,999/x
  3. Step 3: Cross multiply
    47,007x = 71,999 × 71,999
  4. Step 4: Simplify right side
    47,007x = 5,183,856,001
  5. Step 5: Solve for x
    x = 5,183,856,001/47,007
  6. Step 6: Final answer
    x = 110,278.38

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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.