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Finding the Third Proportional to 47,974 and 72,631

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Solution

The third proportional to 47,974 and 72,631 is: 109,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974 : 72,631 = 72,631 : x
  2. Step 2: Convert to fraction form
    47,974/72,631 = 72,631/x
  3. Step 3: Cross multiply
    47,974x = 72,631 × 72,631
  4. Step 4: Simplify right side
    47,974x = 5,275,262,161
  5. Step 5: Solve for x
    x = 5,275,262,161/47,974
  6. Step 6: Final answer
    x = 109,960.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.