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Finding the Third Proportional to 8,097 and 16,491

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Solution

The third proportional to 8,097 and 16,491 is: 33,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097 : 16,491 = 16,491 : x
  2. Step 2: Convert to fraction form
    8,097/16,491 = 16,491/x
  3. Step 3: Cross multiply
    8,097x = 16,491 × 16,491
  4. Step 4: Simplify right side
    8,097x = 271,953,081
  5. Step 5: Solve for x
    x = 271,953,081/8,097
  6. Step 6: Final answer
    x = 33,586.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.