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Finding the Third Proportional to 9,879 and 17,567

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Solution

The third proportional to 9,879 and 17,567 is: 31,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879 : 17,567 = 17,567 : x
  2. Step 2: Convert to fraction form
    9,879/17,567 = 17,567/x
  3. Step 3: Cross multiply
    9,879x = 17,567 × 17,567
  4. Step 4: Simplify right side
    9,879x = 308,599,489
  5. Step 5: Solve for x
    x = 308,599,489/9,879
  6. Step 6: Final answer
    x = 31,237.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.