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Finding the Third Proportional to 14,839 and 22,699

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Solution

The third proportional to 14,839 and 22,699 is: 34,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,839 : 22,699 = 22,699 : x
  2. Step 2: Convert to fraction form
    14,839/22,699 = 22,699/x
  3. Step 3: Cross multiply
    14,839x = 22,699 × 22,699
  4. Step 4: Simplify right side
    14,839x = 515,244,601
  5. Step 5: Solve for x
    x = 515,244,601/14,839
  6. Step 6: Final answer
    x = 34,722.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.