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Finding the Third Proportional to 16,229.81 and 24,279.94

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Solution

The third proportional to 16,229.81 and 24,279.94 is: 36,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.81 : 24,279.94 = 24,279.94 : x
  2. Step 2: Convert to fraction form
    16,229.81/24,279.94 = 24,279.94/x
  3. Step 3: Cross multiply
    16,229.81x = 24,279.94 × 24,279.94
  4. Step 4: Simplify right side
    16,229.81x = 589,515,365.00
  5. Step 5: Solve for x
    x = 589,515,365.00/16,229.81
  6. Step 6: Final answer
    x = 36,322.99

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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.