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Finding the Third Proportional to 11,008 and 23,980

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Solution

The third proportional to 11,008 and 23,980 is: 52,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008 : 23,980 = 23,980 : x
  2. Step 2: Convert to fraction form
    11,008/23,980 = 23,980/x
  3. Step 3: Cross multiply
    11,008x = 23,980 × 23,980
  4. Step 4: Simplify right side
    11,008x = 575,040,400
  5. Step 5: Solve for x
    x = 575,040,400/11,008
  6. Step 6: Final answer
    x = 52,238.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.