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Finding the Third Proportional to 22,458.38 and 33,684.75

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Solution

The third proportional to 22,458.38 and 33,684.75 is: 50,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.38 : 33,684.75 = 33,684.75 : x
  2. Step 2: Convert to fraction form
    22,458.38/33,684.75 = 33,684.75/x
  3. Step 3: Cross multiply
    22,458.38x = 33,684.75 × 33,684.75
  4. Step 4: Simplify right side
    22,458.38x = 1,134,662,382.56
  5. Step 5: Solve for x
    x = 1,134,662,382.56/22,458.38
  6. Step 6: Final answer
    x = 50,522.91

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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.