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Finding the Third Proportional to 5,077 and 11,124

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Solution

The third proportional to 5,077 and 11,124 is: 24,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077 : 11,124 = 11,124 : x
  2. Step 2: Convert to fraction form
    5,077/11,124 = 11,124/x
  3. Step 3: Cross multiply
    5,077x = 11,124 × 11,124
  4. Step 4: Simplify right side
    5,077x = 123,743,376
  5. Step 5: Solve for x
    x = 123,743,376/5,077
  6. Step 6: Final answer
    x = 24,373.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.