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Finding the Third Proportional to 47,538 and 73,907

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Solution

The third proportional to 47,538 and 73,907 is: 114,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538 : 73,907 = 73,907 : x
  2. Step 2: Convert to fraction form
    47,538/73,907 = 73,907/x
  3. Step 3: Cross multiply
    47,538x = 73,907 × 73,907
  4. Step 4: Simplify right side
    47,538x = 5,462,244,649
  5. Step 5: Solve for x
    x = 5,462,244,649/47,538
  6. Step 6: Final answer
    x = 114,902.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.