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Finding the Third Proportional to 47,773 and 73,495.50

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Solution

The third proportional to 47,773 and 73,495.50 is: 113,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773 : 73,495.50 = 73,495.50 : x
  2. Step 2: Convert to fraction form
    47,773/73,495.50 = 73,495.50/x
  3. Step 3: Cross multiply
    47,773x = 73,495.50 × 73,495.50
  4. Step 4: Simplify right side
    47,773x = 5,401,588,520.25
  5. Step 5: Solve for x
    x = 5,401,588,520.25/47,773
  6. Step 6: Final answer
    x = 113,067.81

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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.