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Finding the Third Proportional to 48,697.88 and 73,046.81

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Solution

The third proportional to 48,697.88 and 73,046.81 is: 109,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,697.88 : 73,046.81 = 73,046.81 : x
  2. Step 2: Convert to fraction form
    48,697.88/73,046.81 = 73,046.81/x
  3. Step 3: Cross multiply
    48,697.88x = 73,046.81 × 73,046.81
  4. Step 4: Simplify right side
    48,697.88x = 5,335,836,816.41
  5. Step 5: Solve for x
    x = 5,335,836,816.41/48,697.88
  6. Step 6: Final answer
    x = 109,570.22

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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.