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Finding the Third Proportional to 11,969 and 25,567

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Solution

The third proportional to 11,969 and 25,567 is: 54,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969 : 25,567 = 25,567 : x
  2. Step 2: Convert to fraction form
    11,969/25,567 = 25,567/x
  3. Step 3: Cross multiply
    11,969x = 25,567 × 25,567
  4. Step 4: Simplify right side
    11,969x = 653,671,489
  5. Step 5: Solve for x
    x = 653,671,489/11,969
  6. Step 6: Final answer
    x = 54,613.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.