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Finding the Third Proportional to 9,664 and 19,544

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Solution

The third proportional to 9,664 and 19,544 is: 39,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 19,544 = 19,544 : x
  2. Step 2: Convert to fraction form
    9,664/19,544 = 19,544/x
  3. Step 3: Cross multiply
    9,664x = 19,544 × 19,544
  4. Step 4: Simplify right side
    9,664x = 381,967,936
  5. Step 5: Solve for x
    x = 381,967,936/9,664
  6. Step 6: Final answer
    x = 39,524.83

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.