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Finding the Third Proportional to 23,896.50 and 36,168.75

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Solution

The third proportional to 23,896.50 and 36,168.75 is: 54,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.50 : 36,168.75 = 36,168.75 : x
  2. Step 2: Convert to fraction form
    23,896.50/36,168.75 = 36,168.75/x
  3. Step 3: Cross multiply
    23,896.50x = 36,168.75 × 36,168.75
  4. Step 4: Simplify right side
    23,896.50x = 1,308,178,476.56
  5. Step 5: Solve for x
    x = 1,308,178,476.56/23,896.50
  6. Step 6: Final answer
    x = 54,743.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.