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Finding the Third Proportional to 47,749 and 73,699

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Solution

The third proportional to 47,749 and 73,699 is: 113,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,749 : 73,699 = 73,699 : x
  2. Step 2: Convert to fraction form
    47,749/73,699 = 73,699/x
  3. Step 3: Cross multiply
    47,749x = 73,699 × 73,699
  4. Step 4: Simplify right side
    47,749x = 5,431,542,601
  5. Step 5: Solve for x
    x = 5,431,542,601/47,749
  6. Step 6: Final answer
    x = 113,751.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.