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Finding the Third Proportional to 23,836.50 and 50,838.75

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Solution

The third proportional to 23,836.50 and 50,838.75 is: 108,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.50 : 50,838.75 = 50,838.75 : x
  2. Step 2: Convert to fraction form
    23,836.50/50,838.75 = 50,838.75/x
  3. Step 3: Cross multiply
    23,836.50x = 50,838.75 × 50,838.75
  4. Step 4: Simplify right side
    23,836.50x = 2,584,578,501.56
  5. Step 5: Solve for x
    x = 2,584,578,501.56/23,836.50
  6. Step 6: Final answer
    x = 108,429.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.