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Finding the Third Proportional to 10,678 and 16,749

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Solution

The third proportional to 10,678 and 16,749 is: 26,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678 : 16,749 = 16,749 : x
  2. Step 2: Convert to fraction form
    10,678/16,749 = 16,749/x
  3. Step 3: Cross multiply
    10,678x = 16,749 × 16,749
  4. Step 4: Simplify right side
    10,678x = 280,529,001
  5. Step 5: Solve for x
    x = 280,529,001/10,678
  6. Step 6: Final answer
    x = 26,271.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.