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Finding the Third Proportional to 23,874.75 and 52,467.75

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Solution

The third proportional to 23,874.75 and 52,467.75 is: 115,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.75 : 52,467.75 = 52,467.75 : x
  2. Step 2: Convert to fraction form
    23,874.75/52,467.75 = 52,467.75/x
  3. Step 3: Cross multiply
    23,874.75x = 52,467.75 × 52,467.75
  4. Step 4: Simplify right side
    23,874.75x = 2,752,864,790.06
  5. Step 5: Solve for x
    x = 2,752,864,790.06/23,874.75
  6. Step 6: Final answer
    x = 115,304.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.