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Finding the Third Proportional to 22,448.81 and 33,673.22

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Solution

The third proportional to 22,448.81 and 33,673.22 is: 50,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.81 : 33,673.22 = 33,673.22 : x
  2. Step 2: Convert to fraction form
    22,448.81/33,673.22 = 33,673.22/x
  3. Step 3: Cross multiply
    22,448.81x = 33,673.22 × 33,673.22
  4. Step 4: Simplify right side
    22,448.81x = 1,133,885,660.99
  5. Step 5: Solve for x
    x = 1,133,885,660.99/22,448.81
  6. Step 6: Final answer
    x = 50,509.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.