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Finding the Third Proportional to 8,204 and 17,964

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Solution

The third proportional to 8,204 and 17,964 is: 39,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204 : 17,964 = 17,964 : x
  2. Step 2: Convert to fraction form
    8,204/17,964 = 17,964/x
  3. Step 3: Cross multiply
    8,204x = 17,964 × 17,964
  4. Step 4: Simplify right side
    8,204x = 322,705,296
  5. Step 5: Solve for x
    x = 322,705,296/8,204
  6. Step 6: Final answer
    x = 39,335.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.