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Finding the Third Proportional to 22,620.75 and 36,282.38

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Solution

The third proportional to 22,620.75 and 36,282.38 is: 58,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620.75 : 36,282.38 = 36,282.38 : x
  2. Step 2: Convert to fraction form
    22,620.75/36,282.38 = 36,282.38/x
  3. Step 3: Cross multiply
    22,620.75x = 36,282.38 × 36,282.38
  4. Step 4: Simplify right side
    22,620.75x = 1,316,410,735.64
  5. Step 5: Solve for x
    x = 1,316,410,735.64/22,620.75
  6. Step 6: Final answer
    x = 58,194.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.