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Finding the Third Proportional to 9,756 and 12,962

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Solution

The third proportional to 9,756 and 12,962 is: 17,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 12,962 = 12,962 : x
  2. Step 2: Convert to fraction form
    9,756/12,962 = 12,962/x
  3. Step 3: Cross multiply
    9,756x = 12,962 × 12,962
  4. Step 4: Simplify right side
    9,756x = 168,013,444
  5. Step 5: Solve for x
    x = 168,013,444/9,756
  6. Step 6: Final answer
    x = 17,221.55

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.