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Finding the Third Proportional to 23,195 and 34,901

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Solution

The third proportional to 23,195 and 34,901 is: 52,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195 : 34,901 = 34,901 : x
  2. Step 2: Convert to fraction form
    23,195/34,901 = 34,901/x
  3. Step 3: Cross multiply
    23,195x = 34,901 × 34,901
  4. Step 4: Simplify right side
    23,195x = 1,218,079,801
  5. Step 5: Solve for x
    x = 1,218,079,801/23,195
  6. Step 6: Final answer
    x = 52,514.76

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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.