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Finding the Third Proportional to 25,197 and 52,467

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Solution

The third proportional to 25,197 and 52,467 is: 109,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197 : 52,467 = 52,467 : x
  2. Step 2: Convert to fraction form
    25,197/52,467 = 52,467/x
  3. Step 3: Cross multiply
    25,197x = 52,467 × 52,467
  4. Step 4: Simplify right side
    25,197x = 2,752,786,089
  5. Step 5: Solve for x
    x = 2,752,786,089/25,197
  6. Step 6: Final answer
    x = 109,250.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.