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Finding the Third Proportional to 23,136.75 and 47,913.75

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Solution

The third proportional to 23,136.75 and 47,913.75 is: 99,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136.75 : 47,913.75 = 47,913.75 : x
  2. Step 2: Convert to fraction form
    23,136.75/47,913.75 = 47,913.75/x
  3. Step 3: Cross multiply
    23,136.75x = 47,913.75 × 47,913.75
  4. Step 4: Simplify right side
    23,136.75x = 2,295,727,439.06
  5. Step 5: Solve for x
    x = 2,295,727,439.06/23,136.75
  6. Step 6: Final answer
    x = 99,224.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.