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Finding the Third Proportional to 47,274 and 73,992

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Solution

The third proportional to 47,274 and 73,992 is: 115,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,274 : 73,992 = 73,992 : x
  2. Step 2: Convert to fraction form
    47,274/73,992 = 73,992/x
  3. Step 3: Cross multiply
    47,274x = 73,992 × 73,992
  4. Step 4: Simplify right side
    47,274x = 5,474,816,064
  5. Step 5: Solve for x
    x = 5,474,816,064/47,274
  6. Step 6: Final answer
    x = 115,810.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.