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Finding the Third Proportional to 23,874.75 and 36,358.88

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Solution

The third proportional to 23,874.75 and 36,358.88 is: 55,370.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 36,358.88 = 36,358.88 : x
  2. Step 2: Convert to fraction form
    23,874.75/36,358.88 = 36,358.88/x
  3. Step 3: Cross multiply
    23,874.75x = 36,358.88 × 36,358.88
  4. Step 4: Simplify right side
    23,874.75x = 1,321,967,791.27
  5. Step 5: Solve for x
    x = 1,321,967,791.27/23,874.75
  6. Step 6: Final answer
    x = 55,370.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.