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Finding the Third Proportional to 47,366 and 72,993

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Solution

The third proportional to 47,366 and 72,993 is: 112,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,366 : 72,993 = 72,993 : x
  2. Step 2: Convert to fraction form
    47,366/72,993 = 72,993/x
  3. Step 3: Cross multiply
    47,366x = 72,993 × 72,993
  4. Step 4: Simplify right side
    47,366x = 5,327,978,049
  5. Step 5: Solve for x
    x = 5,327,978,049/47,366
  6. Step 6: Final answer
    x = 112,485.29

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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.