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Finding the Third Proportional to 47,471 and 73,799

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Solution

The third proportional to 47,471 and 73,799 is: 114,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,471 : 73,799 = 73,799 : x
  2. Step 2: Convert to fraction form
    47,471/73,799 = 73,799/x
  3. Step 3: Cross multiply
    47,471x = 73,799 × 73,799
  4. Step 4: Simplify right side
    47,471x = 5,446,292,401
  5. Step 5: Solve for x
    x = 5,446,292,401/47,471
  6. Step 6: Final answer
    x = 114,728.83

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