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Finding the Third Proportional to 32,327.19 and 50,171.81

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Solution

The third proportional to 32,327.19 and 50,171.81 is: 77,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.19 : 50,171.81 = 50,171.81 : x
  2. Step 2: Convert to fraction form
    32,327.19/50,171.81 = 50,171.81/x
  3. Step 3: Cross multiply
    32,327.19x = 50,171.81 × 50,171.81
  4. Step 4: Simplify right side
    32,327.19x = 2,517,210,769.54
  5. Step 5: Solve for x
    x = 2,517,210,769.54/32,327.19
  6. Step 6: Final answer
    x = 77,866.68

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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.