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Finding the Third Proportional to 9,813 and 11,937

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Solution

The third proportional to 9,813 and 11,937 is: 14,520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813 : 11,937 = 11,937 : x
  2. Step 2: Convert to fraction form
    9,813/11,937 = 11,937/x
  3. Step 3: Cross multiply
    9,813x = 11,937 × 11,937
  4. Step 4: Simplify right side
    9,813x = 142,491,969
  5. Step 5: Solve for x
    x = 142,491,969/9,813
  6. Step 6: Final answer
    x = 14,520.73

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.