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Finding the Third Proportional to 24,849 and 36,936

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Solution

The third proportional to 24,849 and 36,936 is: 54,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,849 : 36,936 = 36,936 : x
  2. Step 2: Convert to fraction form
    24,849/36,936 = 36,936/x
  3. Step 3: Cross multiply
    24,849x = 36,936 × 36,936
  4. Step 4: Simplify right side
    24,849x = 1,364,268,096
  5. Step 5: Solve for x
    x = 1,364,268,096/24,849
  6. Step 6: Final answer
    x = 54,902.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.