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Finding the Third Proportional to 11,143.50 and 23,961

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Solution

The third proportional to 11,143.50 and 23,961 is: 51,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.50 : 23,961 = 23,961 : x
  2. Step 2: Convert to fraction form
    11,143.50/23,961 = 23,961/x
  3. Step 3: Cross multiply
    11,143.50x = 23,961 × 23,961
  4. Step 4: Simplify right side
    11,143.50x = 574,129,521
  5. Step 5: Solve for x
    x = 574,129,521/11,143.50
  6. Step 6: Final answer
    x = 51,521.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.