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Finding the Third Proportional to 9,924.50 and 19,849

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Solution

The third proportional to 9,924.50 and 19,849 is: 39,698

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.50 : 19,849 = 19,849 : x
  2. Step 2: Convert to fraction form
    9,924.50/19,849 = 19,849/x
  3. Step 3: Cross multiply
    9,924.50x = 19,849 × 19,849
  4. Step 4: Simplify right side
    9,924.50x = 393,982,801
  5. Step 5: Solve for x
    x = 393,982,801/9,924.50
  6. Step 6: Final answer
    x = 39,698

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.