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Finding the Third Proportional to 7,689 and 16,467

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Solution

The third proportional to 7,689 and 16,467 is: 35,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 16,467 = 16,467 : x
  2. Step 2: Convert to fraction form
    7,689/16,467 = 16,467/x
  3. Step 3: Cross multiply
    7,689x = 16,467 × 16,467
  4. Step 4: Simplify right side
    7,689x = 271,162,089
  5. Step 5: Solve for x
    x = 271,162,089/7,689
  6. Step 6: Final answer
    x = 35,266.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.