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Finding the Third Proportional to 14,669 and 19,930

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Solution

The third proportional to 14,669 and 19,930 is: 27,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669 : 19,930 = 19,930 : x
  2. Step 2: Convert to fraction form
    14,669/19,930 = 19,930/x
  3. Step 3: Cross multiply
    14,669x = 19,930 × 19,930
  4. Step 4: Simplify right side
    14,669x = 397,204,900
  5. Step 5: Solve for x
    x = 397,204,900/14,669
  6. Step 6: Final answer
    x = 27,077.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.