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Finding the Third Proportional to 10,073 and 16,647

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Solution

The third proportional to 10,073 and 16,647 is: 27,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073 : 16,647 = 16,647 : x
  2. Step 2: Convert to fraction form
    10,073/16,647 = 16,647/x
  3. Step 3: Cross multiply
    10,073x = 16,647 × 16,647
  4. Step 4: Simplify right side
    10,073x = 277,122,609
  5. Step 5: Solve for x
    x = 277,122,609/10,073
  6. Step 6: Final answer
    x = 27,511.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.