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Finding the Third Proportional to 48,694.50 and 73,041.75

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Solution

The third proportional to 48,694.50 and 73,041.75 is: 109,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,694.50 : 73,041.75 = 73,041.75 : x
  2. Step 2: Convert to fraction form
    48,694.50/73,041.75 = 73,041.75/x
  3. Step 3: Cross multiply
    48,694.50x = 73,041.75 × 73,041.75
  4. Step 4: Simplify right side
    48,694.50x = 5,335,097,243.06
  5. Step 5: Solve for x
    x = 5,335,097,243.06/48,694.50
  6. Step 6: Final answer
    x = 109,562.63

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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.