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Finding the Third Proportional to 11,099.75 and 23,779

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Solution

The third proportional to 11,099.75 and 23,779 is: 50,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.75 : 23,779 = 23,779 : x
  2. Step 2: Convert to fraction form
    11,099.75/23,779 = 23,779/x
  3. Step 3: Cross multiply
    11,099.75x = 23,779 × 23,779
  4. Step 4: Simplify right side
    11,099.75x = 565,440,841
  5. Step 5: Solve for x
    x = 565,440,841/11,099.75
  6. Step 6: Final answer
    x = 50,941.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.