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Finding the Third Proportional to 16,201.69 and 33,518.81

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Solution

The third proportional to 16,201.69 and 33,518.81 is: 69,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.69 : 33,518.81 = 33,518.81 : x
  2. Step 2: Convert to fraction form
    16,201.69/33,518.81 = 33,518.81/x
  3. Step 3: Cross multiply
    16,201.69x = 33,518.81 × 33,518.81
  4. Step 4: Simplify right side
    16,201.69x = 1,123,510,791.41
  5. Step 5: Solve for x
    x = 1,123,510,791.41/16,201.69
  6. Step 6: Final answer
    x = 69,345.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.