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Finding the Third Proportional to 9,794 and 14,647

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Solution

The third proportional to 9,794 and 14,647 is: 21,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794 : 14,647 = 14,647 : x
  2. Step 2: Convert to fraction form
    9,794/14,647 = 14,647/x
  3. Step 3: Cross multiply
    9,794x = 14,647 × 14,647
  4. Step 4: Simplify right side
    9,794x = 214,534,609
  5. Step 5: Solve for x
    x = 214,534,609/9,794
  6. Step 6: Final answer
    x = 21,904.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.