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Finding the Third Proportional to 11,360 and 24,956

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Solution

The third proportional to 11,360 and 24,956 is: 54,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360 : 24,956 = 24,956 : x
  2. Step 2: Convert to fraction form
    11,360/24,956 = 24,956/x
  3. Step 3: Cross multiply
    11,360x = 24,956 × 24,956
  4. Step 4: Simplify right side
    11,360x = 622,801,936
  5. Step 5: Solve for x
    x = 622,801,936/11,360
  6. Step 6: Final answer
    x = 54,824.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.