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Finding the Third Proportional to 23,544 and 36,936

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Solution

The third proportional to 23,544 and 36,936 is: 57,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 36,936 = 36,936 : x
  2. Step 2: Convert to fraction form
    23,544/36,936 = 36,936/x
  3. Step 3: Cross multiply
    23,544x = 36,936 × 36,936
  4. Step 4: Simplify right side
    23,544x = 1,364,268,096
  5. Step 5: Solve for x
    x = 1,364,268,096/23,544
  6. Step 6: Final answer
    x = 57,945.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.