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Finding the Third Proportional to 23,823.75 and 50,812.50

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Solution

The third proportional to 23,823.75 and 50,812.50 is: 108,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.75 : 50,812.50 = 50,812.50 : x
  2. Step 2: Convert to fraction form
    23,823.75/50,812.50 = 50,812.50/x
  3. Step 3: Cross multiply
    23,823.75x = 50,812.50 × 50,812.50
  4. Step 4: Simplify right side
    23,823.75x = 2,581,910,156.25
  5. Step 5: Solve for x
    x = 2,581,910,156.25/23,823.75
  6. Step 6: Final answer
    x = 108,375.47

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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.