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Finding the Third Proportional to 22,475.25 and 33,672.38

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Solution

The third proportional to 22,475.25 and 33,672.38 is: 50,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,475.25 : 33,672.38 = 33,672.38 : x
  2. Step 2: Convert to fraction form
    22,475.25/33,672.38 = 33,672.38/x
  3. Step 3: Cross multiply
    22,475.25x = 33,672.38 × 33,672.38
  4. Step 4: Simplify right side
    22,475.25x = 1,133,828,838.14
  5. Step 5: Solve for x
    x = 1,133,828,838.14/22,475.25
  6. Step 6: Final answer
    x = 50,447.89

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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.