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Finding the Third Proportional to 19,704 and 23,349

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Solution

The third proportional to 19,704 and 23,349 is: 27,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 23,349 = 23,349 : x
  2. Step 2: Convert to fraction form
    19,704/23,349 = 23,349/x
  3. Step 3: Cross multiply
    19,704x = 23,349 × 23,349
  4. Step 4: Simplify right side
    19,704x = 545,175,801
  5. Step 5: Solve for x
    x = 545,175,801/19,704
  6. Step 6: Final answer
    x = 27,668.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.