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Finding the Third Proportional to 49,015.13 and 73,327.78

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Solution

The third proportional to 49,015.13 and 73,327.78 is: 109,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,015.13 : 73,327.78 = 73,327.78 : x
  2. Step 2: Convert to fraction form
    49,015.13/73,327.78 = 73,327.78/x
  3. Step 3: Cross multiply
    49,015.13x = 73,327.78 × 73,327.78
  4. Step 4: Simplify right side
    49,015.13x = 5,376,963,503.05
  5. Step 5: Solve for x
    x = 5,376,963,503.05/49,015.13
  6. Step 6: Final answer
    x = 109,700.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.