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Finding the Third Proportional to 11,172 and 24,126

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Solution

The third proportional to 11,172 and 24,126 is: 52,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172 : 24,126 = 24,126 : x
  2. Step 2: Convert to fraction form
    11,172/24,126 = 24,126/x
  3. Step 3: Cross multiply
    11,172x = 24,126 × 24,126
  4. Step 4: Simplify right side
    11,172x = 582,063,876
  5. Step 5: Solve for x
    x = 582,063,876/11,172
  6. Step 6: Final answer
    x = 52,100.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.