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Finding the Third Proportional to 23,003 and 36,698

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Solution

The third proportional to 23,003 and 36,698 is: 58,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003 : 36,698 = 36,698 : x
  2. Step 2: Convert to fraction form
    23,003/36,698 = 36,698/x
  3. Step 3: Cross multiply
    23,003x = 36,698 × 36,698
  4. Step 4: Simplify right side
    23,003x = 1,346,743,204
  5. Step 5: Solve for x
    x = 1,346,743,204/23,003
  6. Step 6: Final answer
    x = 58,546.42

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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.