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Finding the Third Proportional to 11,779 and 24,097

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Solution

The third proportional to 11,779 and 24,097 is: 49,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779 : 24,097 = 24,097 : x
  2. Step 2: Convert to fraction form
    11,779/24,097 = 24,097/x
  3. Step 3: Cross multiply
    11,779x = 24,097 × 24,097
  4. Step 4: Simplify right side
    11,779x = 580,665,409
  5. Step 5: Solve for x
    x = 580,665,409/11,779
  6. Step 6: Final answer
    x = 49,296.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.