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Finding the Third Proportional to 47,812 and 73,734

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Solution

The third proportional to 47,812 and 73,734 is: 113,710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812 : 73,734 = 73,734 : x
  2. Step 2: Convert to fraction form
    47,812/73,734 = 73,734/x
  3. Step 3: Cross multiply
    47,812x = 73,734 × 73,734
  4. Step 4: Simplify right side
    47,812x = 5,436,702,756
  5. Step 5: Solve for x
    x = 5,436,702,756/47,812
  6. Step 6: Final answer
    x = 113,710.00

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