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Finding the Third Proportional to 11,001 and 11,937

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Solution

The third proportional to 11,001 and 11,937 is: 12,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001 : 11,937 = 11,937 : x
  2. Step 2: Convert to fraction form
    11,001/11,937 = 11,937/x
  3. Step 3: Cross multiply
    11,001x = 11,937 × 11,937
  4. Step 4: Simplify right side
    11,001x = 142,491,969
  5. Step 5: Solve for x
    x = 142,491,969/11,001
  6. Step 6: Final answer
    x = 12,952.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.